Question

Assume a significance level of alpha = 0.05 and use the given information to complete parts​ (a) and​ (b) below. Original​ claim: The standard deviation of pulse rates of a certain group of adult males is more than 11 bpm. The hypothesis test results in a​ P-value of 0.2761.

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 less than or equal to alphaα.

B. Reject H₀​ because the​ P-value is less than or equal to alphaα.

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

D. Reject H₀​ because the​ P-value is greater 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.The standard deviation of pulse rates of the group of adult males is more than 11 bpm.

B.There is not sufficient evidence to support the claim that the standard deviation of pulse rates of the group of adult males is more than 11 bpm.

C.The standard deviation of pulse rates of the group of adult males is less than or equal to 11 bpm.

D.There is sufficient evidence to support the claim that the standard deviation of pulse rates of the group of adult males is more than 11 bpm.

Answer 1

See the above example p value =0.2761, alpha=0.05

a) option(c) is correct.

Explanation : fail to reject null hypothesis because the p value is greater than aplha(0.05)  

B) option (d) is correct.

There is sufficient evidence to support the claim that the standard deviation of pulse rates of the group of adult males is more than 11 but.

Explanation : the p value is greater than 0.05 level of significance. I. e accepct null hypothesis at 0.05 level of significance.