Question

assume a significance level of \\( \alpha = 0.05 \\) 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 74 bpm. the hypothesis test results in a p - value of 0.0078. d. fail to reject \\( h_0 \\) because the p - value is less than or equal to \\( \alpha \\). 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 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 74 bpm. b. the mean pulse rate (in beats per minute) of the group of adult males is 74 bpm. c. 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 74 bpm. d. the mean pulse rate (in beats per minute) of the group of adult males is not 74 bpm.

Explanation:

In hypothesis testing, if the P - value ($0.0078$) is less than the significance level ($\alpha = 0.05$), we reject the null hypothesis. The original claim is the null hypothesis here. Rejecting the null hypothesis means there is evidence against it.

Answer:

C. 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 74 bpm.