Statistics Questions

In a recent court case it was found that during a period of 11 years 858 people were selected for grand jury duty and 35 of them were from the same ethnicity Among the people eligible for grand jury duty 80 6 were of this ethnicity Use a 0 05 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury Identify the null hypothesis alternative hypothesis test statistic P value conclusion about the null hypothesis and final conclusion that addresses the original claim Use the P value method and the normal distribution as an approximation to the binomial distribution Which of the following is the hypothesis test to be conducted OA Ho p 0 806 B Ho p0 806 H p 0 806 H p 0 806 OC Ho p 0 806 H p 0 806 OE Ho p 0 806 H p 0 806 D Ho p 0 806 H p 0 806 OF Ho p 0 806 H p 0 806

Which of the following is not a requirement for testing a claim about a population with a not known Choose the correct answer below O A The value of the population standard deviation is not known OB Either the population is normally distributed or n 30 or both OC The population mean is equal to 1 OD The sample is a simple random sample

Trials in an experiment with a polygraph include 99 results that include 22 cases of wrong results and 77 cases of correct results Use a 0 01 significance level to test the claim that such polygraph results are correct less than 80 of the time Identify the null hypothesis alternative hypothesis test statistic P value conclusion about the null hypothesis and final conclusion that addresses the original claim Use the P value method Use the normal distribution as an approximation of the binomial distribution Let p be the population proportion of correct polygraph results Identify the null and alternative hypotheses Choose the correct answer below O A Ho p 0 20 H p0 20 OC Ho p 0 80 H p 0 80 O E Ho p 0 20 H p 0 20 The test statistic is z B Ho p 0 80 H p 0 80 O D Ho p 0 20 H p 0 20 OF Ho p 0 80 H p 0 80 Round to two decimal places as needed

Probability of Compound Events Independent Events Dependent Events P A and B P A P B P A and B P A Mutually Exclusive Events Not Mutually Exclusive Events P A or B P A P B P A or B P A 01 26 5 1 3 0 getting red card and tails 3 52 13

Use the results from a survey of a simple random sample of 1281 adults Among the 1281 respondents 81 rated themselves as above average 3 drivers We want to test the claim that more than of adults rate 4 themselves as above average drivers Complete parts a through e a Regardless of the conclusion reached from the hypothesis test is it 3 possible that more than of adults can be above average drivers 4 OA Yes Assuming quality of driving can be quantified a distribution that is extremely skewed to the left would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean OB Yes Assuming quality of driving can be quantified a distribution that is extremely skewed to the right would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean OC No Assuming quality of driving can be quantified half of all adults must have driving quality less than or equal to the mean OD No It is impossible to compare the quality of different adults driving

Assume a significance level of 0 05 and use the givell complete parts a and b below Original claim More than 46 of adults would erase all of their personal information online if they could The hypothesis test results in a P value of 0 0369 a State a conclusion about the null hypothesis Reject Ho or fail to reject Ho Choose the correct answer below A Fail to reject Ho because the P value is less than or equal to B Reject Ho because the P value is less than or equal to C Reject Ho because the P value is greater than a D Fail to reject Ho because the P value is greater than b Without using technical terms state a final conclusion that addresses the original claim Which of the following is the correct conclusion OA The percentage of adults that would erase all of their personal information online if they could is more than 46 OB There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 46 OC The percentage of adults that would erase all of their personal information online if they could is less than or equal to 46 O D There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal more than 46 information online if they could

In a study of 784 randomly selected medical malpra found that 495 of them were dropped or dismissed Use a 0 05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed Which of the following is the hypothesis test to be conducted O A OB Ho p 0 5 H p 0 5 Ho p 0 5 H p 0 5 O C Ho p 0 5 H p 0 5 O E Ho p 0 5 H p 0 5 OD Ho p 0 5 H p 0 5 OF Ho p0 5 H p 0 5

male teaching assistants and 13 female teaching assistants If a person is selected at random from the group find the probability that the selected person is a teaching assistant or a female Probability of Compound Events Independent Events Dependent Events P A and B P A P B P A and B P A x Mutually Exclusive Events Not Mutually Exclusive Events P A or B P A P B P A P B P A or B P A

The overnight shipping business has skyrocketed in the last few years A study was conducted to study the customer satisfaction levels for one overnight shipping business In addition to the customer s satisfaction level the customers were asked how often they used overnight shipping The results are shown below in the following table What is the probability that a respondent did not have a high level of satisfaction with the company Round to the nearest hundredth Frequency of Use Less than 2 per month 2 5 per month Greater than 5 per month TOTAL 0 34 O 0 57 0 66 0 43 High Satisfaction 250 140 70 460 Medium Satisfaction 140 55 25 220 Low Satisfaction TOTAL 10 5 15 20 400 200 100 1700

The following table displays a distribution for a group of retired people by career and age at retirement Suppose one of these people is selected at random Find the probability that the person was a secretary or that they retired between ages 56 and 60 Round your answer to the nearest thousandth Career Secretary Store Clerk Total 0 409 O 0 253 0 472 0 063 Attorney College Professor 50 55 12 10 21 18 61 56 60 34 36 45 44 159 Age at Retirement 61 65 93 93 63 70 319 Over 65 34 42 49 50 175 Total 173 181 178 182 714

A single six sided die is rolled twice The 36 equally likely outcomes are shown below Find the probability of getting two numbers whose sum is 5 Second Roll First Roll BB 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6 HE 1 1 12 2 1 9 3 1 6

In 1999 the stock market took big swings up asked how often they tracked their portfolio The table shows the investor responses What is the probability that an adult investor tracks his or her portfolio daily How Frequently Daily Weekly Monthly Couple times a year Don t track 137 991 236 991 284 991 277 Response 236 284 277 137 57

1 5 3 Use the spinner below to answer the question Assume that it is equally probable that the pointer will land on any one of the five numbered spaces If the pointer lands on a borderline spin again Find the probability that the arrow will land on an even number 2 5 3 2

21 Is it an offence to hold a cell phone in your hand while stopped at a red light at an intersection Reference What is the penalty for the 1st offence 2nd 3rd 4 marks 22 Please site the statute and the section number governing Fail to Remain at the scene of an accident and Fail to Report accident under the Highway Traffic Act Please provide all the facts in issue necessary to secure a conviction for the above mentioned offences 2 marks Is there a difference 1 Mark Can you be charged with Fail to Remain at the scene of an accident in a parking lot 1 Mark 4 Marks TOTAL Reference 23 In what Ontario Regulations are the Novice violations found 1 Mark Ref 24 Can a Novice Driver have any blood alcohol concentration while driving 1 Mark Reference

Albert thinks that he has a special relationship with the number 6 In particular Albert thinks that he would roll a 6 with a fair 6 sided die more often than you d expect by chance alone Suppose p is the true proportion of the time Albert will roll a 6 a State the null and alternative hypotheses for testing Albert s claim Type the symbol p for the population proportion whichever symbols you need of not and express any values as a fraction e g p 1 3 Ho Ha b Now suppose Albert makes n 38 rolls and a 6 comes up 8 times out of the 38 rolls Determine the P value of the test P value c Answer the question Does this sample provide evidence at the 5 percent level that Albert rolls a 6 more often than you d expect Type Yes or No this problem

The statement listed below is false Let p represent the statement p Listening to classical music makes infants smarter Express the symbolic statement p in words What can be concluded about the resulting verbal statement In words the symbolic statement p is A Sometimes listening to classical music makes infants smarter B Not listening to classical music makes infants smarter C Listening to classical music sometimes makes infants smarter D Listening to classical music does not make infants smarter What can you conclude about the resulting verbal statement A The resulting verbal statement is false because it is a negation of the initial statement B The resulting verbal statement is equivalent to the initial verbal statement C The resulting verbal statement is true because p is false D The resulting verbal statement is the quantified statement of the initial verbal statement

Form the negation of the statement Friday does not come before Saturday Choose the correct answer below OA Friday comes before Saturday B Saturday does come before Friday OC It is not true that Friday comes before Saturday D Sometimes Friday does not come before Saturday

1 point A newspaper conducted a statewide survey concerning the 1998 race for state senator The newspaper took a SRS of n 1100 registered voters and found that 570 would vote for the Republican candidate Let p represent the proportion of registered voters in the state who would vote for the Republican candidate We test a What is the z statistic for this test b What is the P value of the test this problem Ho p 50 Ha p 50

Physicians at a clinic gave what they thought were drugs to 860 patients Although the doctors later learned that the drugs were really placebos 56 of the patients reported an improved condition Assume that if the placebo is ineffective the probability of a patients condition improving is 0 52 Test the hypotheses that the proportion of patients improving is 0 52 Find the test statistics Z Find the p value p

A noted psychic was tested for ESP The psychic was presented with 200 cards face down and was asked to determine if the card was one of 5 symbols a star cross circle square or three wavy lines The psychic was correct in 49 cases Let p represent the probability that the psychic correctly identifies the symbol on the card in a random trial Assume the 200 trials can be treated as an SRS from the population of all guesses To see if there is evidence that the psychic is doing better than just guessing we test Ho p 2 Ha p 2 a What is the z statistic for this test b What is the P value of the test

When Brett Kavanaugh was nominated to be a Supreme Court justice a survey of 1124 Americans showed that 51 1 of them disapproved of Kavanaugh A newspaper published an article with this headline Majority of Americans Disapprove of Kavanaugh Use a 0 10 significance level to test the claim made in that headline Use the P value method Use the normal distribution as an approximation to the binomial distribution Let p denote the population proportion of all Americans who disapproved of Kavanaugh Identify the null and alternative hypotheses Ho P H p Type integers or decimals Do not round

Use the results from a survey of a simple random sample of 1281 adults Among the 1281 respondents 81 rated themselves as above average drivers We 3 want to test the claim that more than of adults rate themselves as above 4 average drivers Complete parts a through e a Regardless of the conclusion reached from the hypothesis test is it possible 3 that more than of adults can be above average drivers 4 OA Yes Assuming quality of driving can be quantified a distribution that is extremely skewed to the left would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean OB Yes Assuming quality of driving can be quantified a distribution that is extremely skewed to the right would be the most promising scenario for more than this proportion of adults to have driving quality that is above the mean OC No Assuming quality of driving can be quantified half of all adults must have driving quality less than or equal to the mean OD No It is impossible to compare the quality of different adults driving

Twelve different video games showing alcohol use were observed The duration times of alcohol use were recorded with the times seconds listed below What requirements must be satisfied to test the claim that the sample is from a population with a mean greater than 75 sec Are the requirements all satisfied 83 15 551 51 0 59 215 45 177 0 What requirements must be satisfied Select all that apply 2 A At least one observation must be above or below 75 sec B The sample observations must be a simple random sample C The conditions for a binomial distribution must be satisfied D Either the population is normally distributed or n 30 or both 60

Which of the following is NOT true when testing a claim about a proportion Choose the correct answer below OA When testing claims about population proportions the traditional method and the P value method are equivalent in the sense that they always yield the same result OB Both the traditional method and P value method use the same standard deviation based on the claimed proportion p but the confidence interval uses an estimated standard deviation based on the sample proportion P OC A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test OD If you want to test a claim about population proportions use the P value method or the classical method of hypothesis testing

In a study of 784 randomly selected medical malpractice lawsuits it was found that 495 of them were dropped or dismissed Use a 0 05 significance level to tes the claim that most medical malpractice lawsuits are dropped or dismissed Which of the following is the hypothesis test to be conducted OA Ho p 0 5 H p 0 5 OC Ho p 0 5 H p0 5 O E Ho p 0 5 H p 0 5 OB Ho p 0 5 H p 0 5 O D Ho p 0 5 H p 0 5 OF Ho p0 5 H p 0 5

Trials in an experiment with a polygraph include 99 results that include 22 cases of wrong results and 77 cases of correct results Use a 0 01 significance level to test the claim that such polygraph results are correct less than 80 of the time Identify the null hypothesis alternative hypothesis test statistic P value conclusion about the null hypothesis and final conclusion that addresses the original claim Use the P value method Use the normal distribution as an approximation of the binomial distribution Let p be the population proportion of correct polygraph results Identify the null and alternative hypotheses Choose the correct answer below OA Ho p 0 20 H p0 20 OC Ho p 0 80 H p 0 80 OE Ho p 0 20 H p 0 20 B Ho p 0 80 H p 0 80 O D Ho p 0 20 H p 0 20 OF Ho p 0 80 H p 0 80

A data set includes data from student evaluations of courses The summary statistics are n 93 x 3 91 s 0 59 Use a 0 05 significance level to test the claim that the population of student course evaluations has a mean equal to 4 00 Assume that a simple random sample has been selected Identify the nul and alternative hypotheses test statistic P value and state the final conclusion that addresses the original claim What are the null and alternative hypotheses OA Ho H 4 00 H 4 00 OC Ho 4 00 H H 4 00 OB Ho H 4 00 H 4 00 O D Ho H 4 00 H 4 00

Assume a significance level of x 0 05 and use the given information to complete parts a and b below Original claim More than 46 of adults would erase all of their personal information online if they could The hypothesis test results in a P value of 0 0369 a State a conclusion about the null hypothesis Reject Ho or fail to reject Ho Choose the correct answer below OA Fail to reject Ho because the P value is less than or equal to a OB Reject Ho because the P value is less than or equal to a OC Reject Ho because the P value is greater than a D Fail to reject Ho because the P value is greater than

A television show conducted an experiment to study what happens when buttered toast is dropped on the floor When 46 buttered slices of toast were dropped 28 of them landed with the buttered side up and 18 landed with the buttered side down Use a 0 01 significance level to test the claim that toast will land with the buttered side down 50 of the time Use the P value method Use the normal distribution as an approximation to the binomial distribution After that supposing the intent of the experiment was to assess the claim that toast will land with the buttered side down more than 50 of the time write a conclusion that addresses the intent of the experiment Let p denote the population proportion of all buttered toast that will land with the buttered side down when dropped Identify the null and alternative hypotheses to test the claim that buttered toast will land with the buttered side down 50 of the time Ho P H p Type integers or decimals Do not round

use it was found that during a period of 11 years 890 people were selected for grand jury duty and 42 of them were from the same ethnicity Among the people eligible for grand jury duty 80 5 were of this ethnicity Use a 0 05 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury Identify the null hypothesis alternative hypothesis test statistic P value conclusion about the null hypothesis and final conclusion that addresses the original claim Use the P value method and the normal distribution as an approximation to the binomial distribution Which of the following is the hypothesis test to be conducted OA Ho p 0 805 O B Ho p 0 805 H p 0 805 H p 0 805 OC Ho p 0 805 H p 0 805 OE Ho p 0 805 H p 0 805 O D Ho p 0 805 H p 0 805 OF Ho P 0 805 H p 0 805

The test statistic of z 1 86 is obtained when testing the claim that p 0 355 a Identify the hypothesis test as being two tailed left tailed or right tailed b Find the P value c Using a significance level of a 0 10 should we reject Ho or should we fail to reject Ho Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table a This is a two tailed test b P value 0 063 Round to three decimal places as needed c Choose the correct conclusion below OA Reject Ho There is not sufficient evidence to support the claim that p 0 355 OB Fail to reject Ho There is sufficient evidence to support the claim that p 0 355 OC Reject Ho There is sufficient evidence to support the claim that p 0 355 OD Fail to reject Ho There is not sufficient evidence to support the claim that p 0 355

Assume a significance level of x 0 1 and use the given information to comple parts a and b below Original claim The mean pulse rate in beats per minute of a certain group of adult males is 69 bpm The hypothesis test results in a P value of 0 0758 a State a conclusion about the null hypothesis Reject Ho or fail to reject Ho Choose the correct answer below A Fail to reject Ho because the P value is less than or equal to OB Reject Ho because the P value is greater than OC Fail to reject Ho because the P value is greater than OD Reject Ho because the P value is less than or equal to

try the type error and the type hypothesis The proportion of people who write with their left hand is equal to 0 19 for that corresponds to the given Which of the following is a type I error OA Fail to reject the claim that the proportion of people who write with their left hand is 0 19 when the proportion is actually different from 0 19 B Reject the claim that the proportion of people who write with their left hand is 0 19 when the proportion is actually different from 0 19 C Reject the claim that the proportion of people who write with their left hand is 0 19 when the proportion is actually 0 19 OD Fail to reject the claim that the proportion of people who write with their left hand is 0 19 when the proportion is actually 0 19 Which of the following is a type Il error OA Fail to reject the claim that the proportion of people who write with their left hand is 0 19 when the proportion is actually different from 0 19 OB Reject the claim that the proportion of people who write with their left hand is 0 19 when the proportion is actually different from 0 19 OC Fail to reject the claim that the proportion of people who write with their left hand is 0 19 when the proportion is actually 0 19 OD Reject the claim that the proportion of people who write with their left hand is 0 19 when the proportion is actually 0 19

Claim The mean systolic blood pressure of all healthy adults is less than 123 mm Hg Sample data For 254 healthy adults the mean systolic blood pressure level is 122 74 mm Hg and the standard deviation is 16 18 mm Hg Complete parts a and b a Express the original claim in symbolic form Let the parameter represent a value with respect to systolic blood pressure of a healthy adult H 123 Type an integer or a decimal Do not round b Identify the null and alternative hypotheses Ho H Type integers or decimals Do not round

Claim Fewer than 10 3 of homes have only a landline telephone and no wireless phone Sample data A survey by the National Center for Health Statistics showed that among 15 937 homes 5 81 had landline phones without wireless phones Complete parts a and b a Express the original claim in symbolic form Let the parameter represent a value with respect to homes that have only a landline telephone and no wireless phone P 0 103 Type an integer or a decimal Do not round b Identify the null and alternative hypotheses Ho H Type integers or decimals Do not round

Assume a significance level of 0 1 and use the giv parts a and b below Original claim The mean pulse rate in beats per minute of a certain group of adult males is 74 bpm The hypothesis test results in a P value of 0 0784 a State a conclusion about the null hypothesis Reject Ho or fail to reject Ho Choose the correct answer below A Reject Ho because the P value is less than or equal to x B Fail to reject Ho because the P value is greater than C Reject Ho because the P value is greater than D Fail to reject Ho because the P value is less than or equal to a b Without using technical terms state a final conclusion that addresses the original claim Which of the following is the correct conclusion A The mean pulse rate in beats per minute of the group of adult males is 74 bpm OB There is not sufficient evidence to warrant rejection of the claim that the mean pulse rate in beats per minute of the group of adult males is 74 bpm OC There is sufficient evidence to warrant rejection of the claim that the mean pulse rate in beats per minute of the group of adult males is 74 bpm OD The mean pulse rate in beats per minute of the group of adult males is not 74 bpm

Would kind of line would you use to graph the linear inequality y 2 4 Part B Where would you shade the solutions to the linear inequality 2x 4 Above the line Below the line Cater Value

5 Write the equation of a line in point slope form that passes through the points 3 6 and 5 10 Ay 6 2 x 3 y 6 2 x 3 1 y 6 x 3 1 y 6 x 3

Write the equation of the line in slope intercept form that has slope 3 and passes through 2 5 3 2 3 1 slope m m Point slope y y m x x Slope intercept y mx b 1

Draw the line passing through the point 3 4 with a slope of CLICK TO SELECT LINE AA N 1 5 4 3 2 100 1 2 H 2 3 3100 5 6

16 Directions Find the slope and y intercept for a line passing through the following two points then create a slope intercept equation 5 3 and 4 5 Slope y intercept Slope intercept equation

Directions Identify the slope and y Intercept Then write an equation in y mx b form 9 Slope 0 3 2 1 0 1 2 y intercept 3 Equation N

B Find the slope of the line that passes through the points 5 10 and 7 12 Slope

1 Explain Solve for y Given y 5 3 2 2 The first step is to The second step is to The FINAL equation will be

Which graph represents the solution set of the inequality 3x 2y 4 3 3 2 10 3 2 1 3 0 1 2 3 1 2 3 1 2 3 he

7 Find the equation of line in slope in slope intercept form if its y Intercept and slope is given in the first column Match them with their appropriate result y intercept 20 slope 1 y intercept 12 slope 1 y intercept 20 slope 2 y intercept 4 slope 3 DRAG DROP THE ANSWER y 4x 3 y x 20 y z 12 y 2z 20 y 3z 4

10 Directions Find the x and y intercepts for each Standard Form equation Write your answer as an ordered pair 52 10y 30 2 intercept y intercepta

12 y 3x 5 Which of the following scenarios could be described by the equation above A The number of cards Larry has if he had 3 collector cards and he adds 5 more cards to his collection every 3 days The distance of a tortoise from the starting line in a race if the tortoise started 5 miles ahead of the starting line and moved at a pace of 3 miles per hour B The number of points earned on a test if each question is worth 5 points and Mr Felder subtracted 3 points for every incorrect answer D The amount of money Miranda has if for every 5 Miranda earns she gives 3 to her mother

15 Write in slope intercept form an equation of the line that passes through the given points 4 1 8 2

22 Directions 21 3 Graph the following slope intercept equation 2 CLICK TO SELECT LINE AB 6 5 32 2 1 30 1