In a fishing lodge brochure the lodge advertises that 75 of

Last updated: 2/14/2024

In a fishing lodge brochure the lodge advertises that 75 of its guests catch northern pike over 20 pounds Suppose that last summer 63 out of a random sample of 78 guests did in fact catch northern pike weighing over 20 pounds Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75 either higher or lower Use a 0 05 a What is the level of significance 0 05 USE SALT State the null and alternate hypotheses Enter for as needed Ho P 0 75 H b What sampling distribution will you use Do you think the sample size is sufficiently large Explain We ll use the Student s t because the sample size is not sufficiently large since np 5 and ng 5 O We ll use the standard normal because the sample size is sufficiently large since np 5 and ng 5 We ll use the Student s t because the sample size is sufficiently large since np 5 and nq 5 O We ll use the standard normal because the sample size is not sufficiently large since np 5 and nq 5 Use the value of the sample test statistic to find the corresponding z value Round your answer to two decimal places X c Find the P value of the test statistic Round your answer to four decimal places X 3 Sketch the sampling distribution and show the area corresponding to the P value 2 1 0 1 3 2 1 0 1 2 2 3 3 O x 3 2 1 3 2 1 0 0 1 1 2 2 3 O 3 Q