Use this scenario for problems 6 - 10. A sample of 75 UK students is taken by the Kentucky Kernel newspaper, and each student is asked, "Does knowing that many of the basketball players Kentucky recruits will go pro after one year affect your sense of attachment to the team?" Suppose that 45 of the students in the sample said, "Yes, it does affect my attachment." Is it safe for the Kentucky Kernel to report that a majority (more than 50%) of all UK students are likely to feel that way? Assume a significance level of = 0.05.

Question 1

State the hypotheses for this hypothesis test.

Note that "/=" means "not equal to"

H0: p = 0.50

Ha: p > 0.50

H0: p = 0.50

Ha: p /= 0.50

H0: p = 0.60

Ha: p > 0.60

H0: p = 0.50

Ha: p = 45

Question 2

Calculate the test statistic z. Round to 4 decimal places.

Question 3

Calculate the p-value. Round to 4 decimal places.

Question 4

State the conclusion of the hypothesis test.

Fail to reject the alternative hypothesis Ha

Reject the alternative hypothesis Ha

Fail to reject the null hypothesis H0

Reject the null hypothesis H0

Question 5

Interpret the conclusion of this hypothesis test in the context of the problem.

The majority (more than 50%) of all UK students would agree with the statement, "Yes, it does affect my attachment."

The majority (more than 50%) of the sampled UK students would agree with the statement, "Yes, it does affect my attachment."

We do not have sufficient evidence to conclude that the majority (more than 50%) of all UK students would agree with the statement, "Yes, it does affect my attachment."

We do not have sufficient evidence to conclude that the majority (more than 50%) of the sampled UK students would agree with the statement, "Yes, it does affect my attachment."