A local high school makes a change that should improve student satisfaction with the parking situation. Before
Question:
A local high school makes a change that should improve student satisfaction with the parking situation. Before the change, 37% of the school’s students approved of the parking that was provided. After the change, the principal surveys an SRS of students at the school. She would like to perform a test of
H0: p = 0.37
Ha: p > 0.37
where p is the true proportion of students at school who are satisfied with the parking situation after the change.
a. The power of the test to detect that p = 0.45 based on a random sample of 200 students and a significance level of α = 0.05 is 0.75. Interpret this value.
b. Find the probability of a Type I error and the probability of a Type II error for the test in part (a).
c. Describe two ways to increase the power of the test in part (a).
Step by Step Answer:
a The power of the test is the probability of correctly rejecting the null hypothesis when the alter...View the full answer
