Question

Assume a significance level of α=0.1 and use the given information to complete parts​ (a) and​ (b) below.

Original​ claim: Women have heights with a mean equal to 156cm. The hypothesis test results in a​ P-value of 0.0676

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

A. Fail to reject H0 because the​ P-value is greater than alphaα.

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

C. Fail to reject H0 because the​ P-value is less than alphaα.

D. Reject H0 because the​ P-value is less than alphaα.

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 mean height of women is equal to 156 cm.

B.There is not sufficient evidence to support the claim that the mean height of women is equal to 156 cm.

C.There is not sufficient evidence to warrant rejection of the claim that the mean height of women is equal to 156 cm.

D.There is sufficient evidence to warrant rejection of the claim that the mean height of women is equal to 156 cm.

Answer 1

The Decision Rule is that if p - value is , then Reject H0.

Here p value 0.0676 and = 0.10

(A) OPTION D: Reject H0, because the p value is less than .

(B) Here the claim is the null Hypothesis : H0: = 156. Since we are rejecting H0, therefore

OPTION D: There is sufficient evidence to warrant rejection of the claim that the mean height of women equal to 156 cm.