Question

Assume a significance level of α=0.01 and use the given information to complete parts​ (a) and​ (b) below. Original​ claim: The mean pulse rate​ (in beats per​ minute) of a certain group of adult males is 75 bpm. The hypothesis test results in a​ P-value of 0.0087. 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 or equal to α. B. Fail to reject H0 because the​ P-value is less than or equal to α. C. Fail to reject H0 because the​ P-value is greater than α. D. Reject H0 because the​ P-value is greater than α.

Answer 1

A. Reject H0 because the​ P-value is less than or equal to α.

Explanation:

Decision:

If the pvalue of the test is less than the significance level, we reject the null hypothesis H0.

Otherwise, we fail to reject the null hypothesis H0.

In this question:

Significance level: 0.01

P-value: 0.0087

0.0087 < 0.01, so we reject H0.

The correct answer is given by option A.