Statistics Questions

3 700 students were asked how they get to school The For the included pie chart determine the following information results are shown below NOTE the number in brackets next to each category is the DEGEES that section occupies NOT the number of students Based the frequency bicycle 176 car 92 176 60 16 16 walk 60 bus 16 tax 16 Mode of Travel Bicycle Bus Car Taxi Walk Percent Frequency Give one pro Mean Median Mode Range using a pie chart

In a randomized experiment from the University of Wisconsin one group consisted of a representative sample of 53 obese children ages 9 to 12 who had been randomly assigned to weekly family counseling sessions on the stoplight diet green yellow red approach to eating food After 15 weeks of intervention the children s weight change was recorded in pounds a negative value representing a weight loss The findings for these 53 children are listed under the Intervention column in Crunchlt http crunchit3 bfwpub com psls4e if you select menu File Load from PSLS4e Chapter 18 Table 03 Do the findings provide evidence that the intervention is effective in helping obese children lose weight on average 1 State the appropriate null and alternative hypotheses using math symbols The alternative hypothesis here is Select 2 Plot and summarize the data not required here 3 Use Crunchlt to run this test The test P value you find falls between Select 4 The conditions for this inference procedure Select 5 Write your conclusion as a sentence in context not required here

Researchers examined a random sample of 331 patients who had recovered from traumatic brain injuries resulting in coma The patients were given an IQ test shortly after awakening from their coma Their average IQ score was 88 IQ scores are designed to be Normally distributed with mean 100 and standard deviation 15 in the general population Does the study provide evidence that patients who have recently recovered from a coma have a lower IQ score on average than the general population Evaluate carefully the information provided 1 Who what are the individuals studied 2 What is are the variable s described 3 What is the study s stated objective 4 The null hypothesis for the corresponding test is O Ho O Ho Hdiff 0 O Ho 88 O Ho 88 O Ho diff 12 O Ho diff 0 O Ho 100 O Ho 100 O Ho Pdiff 12

A 2017 study examined whether an anti epileptic drug AED therapy affects bone density The study recruited pairs of siblings in which one sibling was undergoing AED therapy while the other sibling was not Here are the summary statistics for the bone densities in standard units of 40 pairs of siblings Mean AED users 1 093 0 08 Non users 1 108 Difference among siblings 0 015 Standard deviation Examine the information provided carefully 1 State the null and alternative hypotheses corresponding to an effect of AED therapy on bone density not required here 2 Run the corresponding test and obtain the test P value This P value falls between Select 0 09 0 08 3 An appropriate conclusion is that on average in the susceptible population the study Select 4 Obtain the 95 confidence for udifference Does it support the hypothesis that on average AED therapy affects bone density in the susceptible population Select

43 PCC Lee Name 6 pts Tree diameters in a plot of land are normally distributed with a mean of 14 inches and a standard deviation of 3 2 inches Define draw a label a Normal curve and find the answers using Onlinestatbook You only need to fully label the first drawing a What is the probability that an individual tree has a diameter between 13 inches and 16 3 inches b What is the probability that an individual tree has a diameter less than 12 inches c What is the probability that an individual tree has a diameter of at least 15 inches d Find the cutoff values for the middle 50 of tree diameters including units Show your probability statements and use Onlinestatbook

0 4 0 2 0 1 Answer each of the following questions completely This assignment is worth 15 points 1 6 pts Based on past results found in the Information Please Almanac there is a 0 1919 probability that a baseball World Series will last four games a 0 2121 probability that it will last five games a 0 2223 probability that it will last six games and a 0 3737 probability that it will last seven games a Does the given information describe a probability distribution ExplainX games P Probability 1 These are disjoint outcomes 2 The probabilities sum to 100 4 5 6 0 GRADED PROBLEM SET Module 6 4 5 6 7 0 1919 0 2121 0 2223 0 3737 1 00 0 1919 0 2121 0 2223 7 03737 Assuming that the given information describes a probability distribution find the mean and standard deviation for the number of games in World Series including units 2 3 pts Scores on the Quantitative Reasoning portion of the Graduate Record Exam GRE are Normally distributed with a mean of 153 points and a standard deviation of 7 67 points Define draw and label a Normal curve and use Onlinestatbook to find the cutoff score required to be in the 90th percentile

claims that 38 of the population of all pregnant women actually gave birth the week of their due date You are a researcher who wants to test this claim so you will select a random sample of 40 women who have recently given birth Follow the steps below to construct a 90 confidence interval for the population proportion of all pregnant women who gave birth the week of their due date Then state whether the confidence interval you construct contradicts the study s claim If necessary consult a list of formulas a Click on Take Sample to see the results from the random sample Take Sample Sample size 0 Point estimate 0 Critical value Enter the values of the sample size the point estimate of the population proportion and the critical value you need for your 90 confidence interval Choose the correct critical value from the table of critical values provided When you are done select Compute Compute Gave birth the week of due date Did not give birth the week of due date 0 000 H 0 000 Standard error Margin of error 90 confidence interval Number Proportion 18 22 90 confidence interval 0 500 b Based on your sample graph the 90 confidence interval for the population proportion of all pregnant women who gave birth the week of their due date O No the confidence interval does not contradict the claim The proportion 0 38 from the study is inside the 90 confidence interval 0 45 O No the confidence interval does not contradict the claim The proportion 0 38 from the study is outside the 90 confidence interval 0 55 Enter the values for the lower and upper limits on the graph to show your confidence interval For the point enter the claim 0 38 from the study O Yes the confidence interval contradicts the claim The proportion 0 38 from the study is inside the 90 confidence interval O Yes the confidence interval contradicts the claim The proportion 0 38 from the study is outside the 90 confidence interval X values 20 005 2 576 20 010 2 326 X 20 025 1 960 20 050 1 645 20 100 1 282 c Does the 90 confidence interval you constructed contradict the claim from the study Choose the best answer from the choices below S 1 000 5 S 1 000 2 999 Aa M

0 0 2 1 0 05 2 0 25 3 0 5 Find the standard deviation of this probability distribution Use your mean rounded to 2 decimal places Give your answer to 2 decimal places Question Help Message instructor Post to forum

X 0 1 2 3 P x 0 1 0 15 0 15 0 6 Find the mean of this probability distribution Round your answer to one decimal place Question Help Message instructor Post to forum

Four hundred consumers were surveyed about a new brand of snack food Crunchicles Their age groups and preferences are given in the table Liked Crunchicles Disliked Crunchicles No Preference Total 18 24 25 34 35 55 55 and over Total 130 198 34 82 60 120 224 400 19 14 30 63 22 14 6 42 27 20 24 71 One consumer from the survey is selected at random Use reduced fractions for your responses to each of the following questions What is the probability that the consumer is 18 24 years of age given that he she dislikes Crunchicles What is the probability that the selected consumer dislikes Crunchicles What is the probability that the selected consumer is 35 55 years old or likes Crunchicles If the selected consumer is 70 years old what is the probability that he she likes Crunchicles

A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels The table shows the total blood cholesterol levels in milligrams per deciliter of blood of seven patients before eating the cereal and after one year of eating the cereal as part of their diets Use technology to test the mean difference Assume the samples are random and dependent and the population is normally distributed At a 0 05 can you conclude that the new cereal lowers total blood cholesterol levels Patient Total Blood Cholesterol Before Total Blood Cholesterol After OA Ho Hd SO HA Hd 0 OC Ho Hd 20 HA HD 0 Calculate the standardized test statistic t Round to three decimal places as needed Calculate the P value P value Round to four decimal places as needed State the conclusion Ho There cholesterol levels 1 205 195 Let the blood cholesterol level before eating the cereal be population 1 Let the blood cholesterol level after eating the cereal be population 2 Identify the null and alternative hypotheses where Hd H1 H2 Choose the correct answer below 2 225 223 is 3 230 231 OB Ho Hd 0 HA Hd 0 4 245 244 OD Ho Hd 0 HA Hd 0 5 250 249 6 270 269 7 225 222 sufficient evidence to support the claim that the new cereal lowers total blood 2

Add Work Submit Question Question 2 0 1 pt100 Detai In a national survey of eating habits 3800 adults were selected randomly and contacted by telephone Respondents were asked Typically how many times per week do you purchase food at a fast food restaurant or convenience store On average those surveyed purchased food at a fast food restaurant or convenience store 2 4 times per week Which of the following is true with respect to this scenario 2 4 is a statistic which we want to use to estimate the population parameter 2 4 is a parameter which we want to use to estimate the value of a statistic 3800 is the size of the population being studied

In a study the sample is chosen by writing everyones name on a playing card shuffling the deck then choosing the top 20 cards What is the sampling method Simple Random Stratified Convenience None of these

treatment experiment retrospective study cases or subjects observational study Definitions a a study in which data from the past is examined b experimental conditions imposed on the subjects c a study in which a treatment is applied and responses are observed d a study in which data is collected without anything being done to the subjects e The people animals or things on whom experiments are performed

Which of the below data sets has the lowest standard deviation You do not need to calculate the exact standard deviations to answer this question 0 1 3 3 3 5 6 0 25 50 100 125 150 1000 0 1 2 3 4 5 6 0 0 0 100 200 200 200

z score of 1 indicates a point that is one than the m

Does a low calorie meal pay off Some dieters say that eating less at just one meal is ineffective because people compensate by eating more at other meals but a new study contradicts that argument Below is an excerpt from a NY Times article on this study For two weeks researchers had 17 men and women eat all their meals and snacks as much as they wanted at a buffet where the exact quantities consumed could be weighed and caloric intake calculated Then for the next two weeks the participants ate a 200 calorie lunch a commercially available food like a Kashi bar or a Lean Pocket But the rest of the day they ate whatever they wanted from the buffet Not counting lunch the participants consumed 1 568 calories on days they had the 200 calorie lunch and 1 560 on days when they did not an insignificant difference But over all they consumed 245 fewer calories on low calorie lunch days The result of that unsurprisingly was weight loss an average of 1 1 pounds per participant in two weeks What type of study is this O Observational study Experiment

Scores on a test are normally distributed with a mean of 160 and a standard deviation of 12 Using the z score table the estimated probability that a randomly selected student scored less than 148 is

In the MathMeeting video in the section looking at the test scores what is the probability a student scored less than 75 The p 75 and the o 10 P x 75 11

The average always has a z score value 46

The lengths of time in years it took a random sample of 32 former smokers to quit smoking permanently are listed Assume the population standard deviation is 6 4 years At a 0 02 is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years Complete parts a through e 16 8 14 1 22 1 17 8 19 4 D 16 4 18 9 8 5 16 8 7 1 8 9 20 5 16 2 19 6 14 5 12 3 10 4 11 7 21 4 12 9 13 6 14 7 10 5 21 2 22 2 22 6 9 8 9 5 19 5 15 4 12 4 15 4 a Identify the claim and state the null hypothesis and alternative hypothesis O A Ho 14 OB Ho H 14 claim H 14 Ha 14 claim O D Ho H 14 claim Ha H 14 O E Ho 214 claim Ha 14 OA Fail to reject Ho There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years b Identify the standardized test statistic Use technology Z Round to two decimal places as needed c Find the P value Use technology P Round to three decimal places as needed d Decide whether to reject or fail to reject the null hypothesis and e interpret the decision in the context of the original claim at the 2 level of significance OC Reject Ho There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years OB OC Ho 14 claim Ha H 14 OD OF Ho 14 claim Ha H 14 Fail to reject Ho There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years Reject Ho There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years

Find the standardized test statistic t to test the claim that H H Two samples are randomly selected and come from populations that are normal The sample statistics are given below Assume that o 0 n 18 n 13 x 480 X 465 s 40 S 25 OA 1 865 OB 2 819 OC 3 271 D 1 282

The grade point averages for 10 randomly selected high school students are listed below Assume the grade point averages are normally distributed 2 0 3 2 1 8 2 9 0 9 4 0 3 3 2 9 3 6 0 8 Find a 98 confidence interval for the true mean OA 3 11 4 35 OB 1 55 3 53 OC 0 67 1 81 OD 2 12 3 14

arch center claims that 31 of adults in a certain country would travel into space on a commercial flight if they could afford it In a random sample of 700 adults in that country 34 say that they would travel into space on a commercial flight if they could afford it At a 0 10 is there enough evidence to reject the research center s claim Complete parts a through d below a Identify the claim and state Ho and Ha Identify the claim in this scenario Select the correct choice below and fill in the answer box to complete your choice Type an integer or a decimal Do not round A The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not OB At least OC No more than it O D of adults in the country would travel into space on a commercial flight if they could afford it Let p be the population proportion of successes where a success is an adult in the country who would travel into space on a commercial flight if they could afford it State Ho and H Select the correct choice below and fill in the answer boxes to complete your choice Round to two decimal places as needed OA Ho p H ps of adults in the country would travel into space on a commercial flight if they could afford it of adults in the country would travel into space on a commercial flight if they could afford OD Ho P Ha p OB Ho P OE Ho p2 Ha p b Use technology to find the P value Identify the standardized test statistic 2 0 Round to two decimal places as needed Identify the P value P Round to three decimal places as needed Ha p the null hypothesis There OC Ho Ps H p c Decide whether to reject or fail to reject the null hypothesis and d interpret the decision in the context of the original claim enough evidence to OF Ho P Ha p the research center s claim

The distribution of blood types for 100 Americans is listed in the table If one donor is selected at random find the probability of selecting a person with blood type A Blood Type O Number 37 OA 0 68 OB 0 4 OC 0 34 OD 0 45 O A 6 34 A B 6 10 B 2 AB AB 4 1

Identify the sampling technique used Every fifth person boarding a plane is searched thoroughly O A cluster OB random OC stratified O D convenience OE systematic

The distribution of Master s degrees conferred by a university is listed in the table Major Frequency Mathematics English Engineering Business Education 216 207 72 176 222 What is the probability that a randomly selected student graduating with a Master s degree has a major of Engineering Round your answer to three decimal places OA 0 081 B 0 014 OC 0 919 O D 0 986

Use the given frequency distribution to find the a class width b class midpoint of the first class c class boundaries of the first class a 3 OA b 51 c 50 52 a 2 O C b 51 5 c 50 52 Height in inches Class 50 52 53 55 56 58 59 61 62 64 Frequency f a 3 OB b 51 c 49 5 52 5 a 2 OD b 51 5 c 49 5 52 5 5 8 12 13 11

1 Here are the quiz scores from a period of geometry students at North High School 56 89 98 90 65 32 34 74 95 88 96 57 84 74 48 55 55 74 88 87 91 73 67 76 Find the percentile for someone who scores an 84 What does this value mean

Find the mean of the binomial distribution for which n 50 and p 0 2 needed OA 10 00 B 2 83 C 50 00 OD 25 00 und

A survey of 280 homeless persons showed that 63 were veterans Construct a 90 confidence interval for the proportion of homeless persons who are veterans OA 0 184 0 266 OB 0 167 0 283 OC 0 176 0 274 OD 0 161 0 289

2 IQ Scores Intelligence Quotient A measure of intelligence have a mean of 100 and a standard deviation of 16 Albert Einstein reportedly had an IQ of 160 a Calculate and interpret the z score of Einstein s IQ Show your work

claims that 38 of the population of all pregnant omen actually gave birth the week of their due date You are a researcher who wants to test this claim so you will select a random sample of 40 women who have recently given birth Follow the steps below to construct a 90 confidence interval for the population proportion of all pregnant women who gave birth the week of their due date Then state whether the confidence interval you construct contradicts the study s claim If necessary consult a list of formulas a Click on Take Sample to see the results from the random sample b c Take Sample Sample size 0 Point estimate 0 Critical value 0 Compute Gave birth the week of due date 0 000 Did not give birth the week of due date 0 000 Enter the values of the sample size the point estimate of the population proportion and the critical value you need for your 90 confidence interval Choose the correct critical value from the table of critical values provided When you are done select Compute Standard error Margin of error 90 confidence interval Number 90 confidence interval 0 500 18 O No the confidence interval does not contradict the claim The proportion 0 38 from the study is inside the 90 confidence interval 22 Based on your sample graph the 90 confidence interval for the population proportion of all pregnant women who gave birth the week of their due date O No the confidence interval does not contradict the claim The proportion 0 38 from the study is outside the 90 confidence interval O Yes the confidence interval contradicts the claim The proportion 0 38 from the study is inside the 90 confidence interval O Yes the confidence interval contradicts the claim The proportion 0 38 from the study is outside the Proportion Enter the values for the lower and upper limits on the graph to show your confidence interval For the point enter the claim 0 38 from the study 0 45 0 55 values 20 005 2 576 0 010 2 326 0 025 1 960 20 050 1 645 20 100 1 282 X Does the 90 confidence interval you constructed contradict the claim from the study Choose the best answer from the choices below S 1 000 1 000 5 R Aa M

4 Wealth in our country is slowly becoming more and more concentrated in the top 1 of people only Is wealth in the US something that is normally distributed Explain how you know based on the shape of the normal distribution

information service you want to test that claim To do so you select a random sample of 45 cell phones of the manufacturer s latest model and record their battery lifetimes Assume it is known that the population standard deviation of the battery lifetimes for that cell phone model is 2 73 hours Based on your sample follow the steps below to construct a 99 confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer s latest model Then state whether the confidence interval you construct contradicts the manufacturer s claim If necessary consult a list of formulas a Click on Take Sample to see the results from your random sample of 45 phones of the manufacturer s latest model Take Sample Sample size 0 Point estimate 0 Population standard deviation 0 Critical value 0 Enter the values of the sample size the point estimate for the population mean the population standard deviation and the critical value you need for your 99 confidence interval Choose the correct critical value from the table of critical values provided When you are done select Compute Compute 0 00 Number of phones 45 0 00 Sample mean 2 00 7 38 Sample standard deviation 2 61 4 00 Standard error Margin of error 99 confidence interval b Based on your sample graph the 99 confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer s latest model 99 confidence interval Enter the lower and upper limits on the graph to show your confidence interval For the point enter the manufacturer s claim of 5 99 hours 5 00 6 00 below O No the confidence interval does not contradict the claim The manufacturer s claim of 5 99 hours is inside the 99 confidence interval O No the confidence interval does not contradict the claim The manufacturer s claim of 5 99 hours is outside the 99 confidence interval O Yes the confidence interval contradicts the claim The manufacturer s claim of 5 99 hours is inside the 99 confidence interval Population standard deviation 2 73 8 00 Yes the confidence interval contradicts the claim The manufacturer s claim of 5 99 hours is outside the 99 confidence interval Critical values 0 005 2 576 X 0 010 2 326 20 025 1 960 0 050 1 645 0 100 1 282 X X c Does the 99 confidence interval you constructed contradict the manufacturer s claim Choose the best answer from the choices 10 00 5 10 00 80 M

3 An ornithologist is studying a population of birds He finds them to have a mean wingspan of inches with a standard deviation of 0 25 inches A What percentage of birds have wingspans between 2 5 and 3 25 inches B About what percent of birds have wingspans greater than 3 5 inches s C What is the z score of a bird which has a wingspan of 2 9 inches D What proportion of birds have wingspans less than 2 9 inches

67 of U S adults have very little confidence in newspapers You randomly select 10 U S adults Find the probability that the number of U S adults who have very little confidence in newspapers is a exactly five b at least six and c less than four a P 5 b P x 6 c P x 4 Round to three decimal places as needed Round to three decimal places as needed Round to three decimal places as needed

3 What percent of young women have heights between 62 and 72 inches Show your work

nts of young women aged 18 to 24 is approximately N 64 5 2 5 1 Sketch a Normal density curve for the distribution of young women s heights Label the points one two and three standard deviations from the mean

2 Giraffes can be found in many countries in Africa Two examples are Somalia and Kenya Scientists wish to study giraffe height in these two countries because it is an indication of good health In Somalia giraffe height has a mean of 19 feet with a standard deviation of 0 9 feet In Kenya giraffe height has a mean of 20 and a standard deviation of 1 6 feet Two giraffes were measured one from Kenya one from Somalia The Kenyan giraffe was 20 5 feet tall The Somalian giraffe was 19 7 feet tall A Find the z score for the Kenyan giraffe Carbai 9 3 to B Find the z score for the Somalian giraffe C Which giraffe was healer based on its height

1 The data below shows the top medal earning countries during the 2020 2021 Summer Olympics in Tokyo Japan a Find and interpret the country in the 33rd percentile SHOW YOUR WORK Country USA China Russia Great Britain Japan Australia Italy Germany Netherlands France Canada Brasil New Zealand Hungary Korea Total Number of Medals Earned 113 88 71 65 58 46 40 37 37 33 24 21 20 20 20 26 20 21

this claim so you will select a random sample of 40 women who have recently given birth Follow the steps below to construct a 90 confidence interval for the population proportion of all pregnant women who gave birth the week of their due date Then state whether the confidence interval you construct contradicts the study s claim If necessary consult a list of formulas a Click on Take Sample to see the results from the random sample Take Sample Sample size 0 Point estimate 0 Critical value 0 Compute Gave birth the week of due date Enter the values of the sample size the point estimate of the population proportion and the critical value you need for your 90 confidence interval Choose the correct critical value from the table of critical values provided When you are done select Compute 0 000 Did not give birth the week of due date 0 000 Standard error Margin of error 90 confidence interval Number Proportion 0 45 90 confidence interval 0 500 b Based on your sample graph the 90 confidence interval for the population proportion of all pregnant women who gave birth the week of their due date 18 Enter the values for the lower and upper limits on the graph to show your confidence interval For the point enter the claim 0 38 from the study O No the confidence interval does not contradict the claim The proportion 0 38 from the study is inside the 90 confidence interval 22 O No the confidence interval does not contradict the claim The proportion 0 38 from the study is outside the 90 confidence interval O Yes the confidence interval contradicts the claim The proportion 0 38 from the study is inside the 90 confidence interval O Yes the confidence interval contradicts the claim The proportion 0 38 from the study is outside the 0 55 values 20 005 2 576 0 010 2 326 0 025 1 960 0 050 1 645 0 100 1 282 X c Does the 90 confidence interval you constructed contradict the claim from the study Choose the best answer from the choices below X 1 000 1 000 K 90

subjects In each case it was known if the subjected lied or did not lie Did not Actually lied actually lie Polygraph indicated subject lied Polygraph indicated subject did not lie Total 13 11 b Which is the alternative hypothesis 24 26 8 34 e What is the test statistic Round to 2 decimal places Total Use a 0 05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication a Which is the null hypotheses f What are the degrees of freedom needed to find the p value 39 OHO Whether a subject lies is independent of not related to the polygraph test indication HO Polygraph testing is not accurate OHO Polygraph testing is accurate HO Whether a subject lies is dependent of related to the polygraph test indication e What is the p value Round to 4 decimal places 19 58 H1 Whether a subject lies is independent of not related to the polygraph test indication OH1 Polygraph testing is not accurate H1 Whether a subject lies is dependent of related to the polygraph test indication OH1 Polygraph testing is accurate Before calculating the test statistic the expected values for each category must be found c What is the expected number of subjects who lied AND were accurately detected as lying by the polygraph Round to 2 decimal places d What is the expected number of subjects who lied BUT were detected as telling the truth by the polygraph Round to 2 decimal places 4

The table lists the number of games played from 4 to 7 in the Major League Baseball championship the World Series over the last 100 years It also includes the expected proportions for the number of games played with teams of equal abilities Games Played Actual Contests Expected Proportion 4 18 2 16 b Which is the alternative hypothesis 5 22 4 16 6 21 5 16 Use a 0 05 significance level to test the claim that the actual numbers of games fit the distribution indicated by the expected proportions a Which is the null hypothesis HO The observed frequencies agree with three of the expected proportions HO The observed frequencies agree with one of the expected proportions HO The observed frequencies agree with the expected proportions OHO At least one of the observed frequencies do not agree with the expected frequencies d What is the test statistic x Round to 2 decimal places f What is the p value Round to 4 decimal places 7 39 5 16 OH1 The observed frequencies agree with one of the expected proportions H1 At least one of the observed frequencies do not agree with the expected frequencies H1 The observed frequencies agree with three of the expected proportions H1 The observed frequencies agree with the expected proportions To find the test statistic begin by converting the expected proportions in each category to a number of World Series c How many series are expected to have lasted 4 games e What are the degrees of freedom needed to find the p value

adults in a certain country would travel into space on a commercial flight if they could afford it In a random sample of 700 adults in that country 34 say that they would travel into space on a commercial flight if they could afford it At a 0 10 is there enough evidence to reject the research center s claim Complete parts a through d below a Identify the claim and state Ho and Ha Identify the claim in this scenario Select the correct choice below and fill in the answer box to complete your choice Type an integer or a decimal Do not round OA The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not OB At least OC No more than it of adults in the country would travel into space on a commercial flight if they could afford it of adults in the country would travel into space on a commercial flight if they could afford D of adults in the country would travel into space on a commercial flight if they could afford it Let p be the population proportion of successes where a success is an adult in the country who would travel into space on a commercial flight if they could afford it State Ho and H Select the correct choice below and fill in the answer boxes to complete your choice Round to two decimal places as needed A Ho P Ha ps OD Ho P Ha p2 b Use technology to find the P value Identify the standardized test statistic OB Ho P OE Ho p2 Ha p Z Round to two decimal places as needed Identify the P value P Round to three decimal places as needed Ha p the null hypothesis There OC Ho Ps Ha p c Decide whether to reject or fail to reject the null hypothesis and d interpret the decision in the context of the original claim enough evidence to OF Ho P Ha p the research center s claim

A parameter is a numerical description of a characteristic characteristic A statistic is a numerical description of

Determine the probability distribution s missing value The probability that a tutor will see 0 1 2 3 or 4 students X 1 1 022 P x 0 41 OA 0 65 OB 0 98 OC 0 37 OD 0 02 2 3 4 0 22 0 2 0 15

The mean IQ score of adults is 100 with a standard deviation of 15 Use the empirical rule to find the percentage of adults with scores between 70 and 130 Assume the data set has a bell shaped distribution

ship World Series over the last 100 years It also includes the expected proportions for the number of games played with teams of equal abilities Games Played Actual Contests Expected Proportion 4 b Which is the alternative hypothesis 5 18 22 2 4 16 16 Use a 0 05 significance level to test the claim that the actual numbers of games fit the distribution indicated by the expected proportions a Which is the null hypothesis 6 21 5 16 OHO The observed frequencies agree with three of the expected proportions OHO The observed frequencies agree with one of the expected proportions OHO The observed frequencies agree with the expected proportions OHO At least one of the observed frequencies do not agree with the expected frequencies d What is the test statistic x Round to 2 decimal places g Which is the decision and reasoning f What is the p value Round to 4 decimal places 7 OH1 The observed frequencies agree with one of the expected proportions OH1 At least one of the observed frequencies do not agree with the expected frequencies OH1 The observed frequencies agree with three of the expected proportions H1 The observed frequencies agree with the expected proportions e What are the degrees of freedom needed to find the p value 39 5 16 To find the test statistic begin by converting the expected proportions in each category to a number of World Series c How many series are expected to have lasted 4 games Reject the null hypothesis There is not enough evidence to reject the claim that the actual numbers of games fit the distribution indicated by the expected values Fail to reject the null hypothesis There is not enough evidence to reject the claim that the actual numbers of games fit the distribution indicated by the expected values Reject the null hypothesis There is enough evidence to reject the claim that the actual numbers of games fit the distribution indicated by the expected values laim that the actual

K The accompanying table shows asked if they contribute to a retirement savings plan at work Complete parts a and b below Click the icon to view the survey results a Find the probability that a randomly selected worker contributes to a retirement savings plan at work given that the worker is male The probability that a randomly selected worker contributes to a retirement savings plan at work given that the worker is male is Round to three decimal places as needed b Find the probability that a randomly selected worker is female given that the worker contributes to a retirement savings plan at work www The probability that a randomly selected worker is female given that the worker contributes to a retirement savings plan at work is Round to three decimal places as needed Survey Results Male Female Total Contribute 121 146 267 Do not contribute Total 250 250 500 129 104 233 X