Question

assume a significance level of \\( \alpha = 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 0.0009.
b. without using technical terms, state a final conclusion that addresses the original claim. which of the following is the correct conclusion?
o a. the mean pulse rate (in beats per minute) of the group of adult males is not 75 bpm.
o b. there is sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is 75 bpm.
o c. the mean pulse rate (in beats per minute) of the group of adult males is 75 bpm.
o d. there is not sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is 75 bpm.

Explanation:

Step1: Compare P - value and significance level

We know that if the P - value ($P = 0.0009$) is less than the significance level ($\alpha=0.01$), we reject the null hypothesis.

Step2: Relate to the original claim

The original claim is the null hypothesis here. Since we reject the null hypothesis, there is sufficient evidence to reject the claim.

Answer:

B. There is sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is 75 bpm.