Assume a significance level of 005 and use the given informa

Assume a significance level of =0.05 and use the given information to complete parts (a) and (b) below.

Original claim: The proportion of male golfers is lessless than 0.7. The hypothesis test results in a P-value of 0.013.

a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Choose the correct answer below.

A. Reject H0 because the P-value is less than .

B. Reject H0 because the P-value is greater than .

C. Fail to reject H0 because the P-value is greater than .

D. Fail to reject H0 because the P-value is less than .

b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?

A. There is sufficient evidence to support the claim that the proportion of male golfers is less than 0.7.

B. There is not sufficient evidence to reject the claim that the proportion of male golfers is less than 0.7.

C. There is not sufficient evidence to support the claim that the proportion of male golfers is less than 0.7.

D. There is sufficient evidence to reject the claim that the proportion of male golfers is less than 0.7.

Solution

a. As P-value = 0.013 and = 0.05,

A. Reject H0 because the P-value is less than .

b. We conclude that proportion is less than 0.7,

A. There is sufficient evidence to support the claim that the proportion of male golfers is less than 0.7