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 12 bpm. the hypothesis test results in a p - value of 0.2211. 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 support the claim that the standard deviation of pulse rates of the group of adult males is more than 12 bpm. b. the standard deviation of pulse rates of the group of adult males is more than 12 bpm. c. the standard deviation of pulse rates of the group of adult males is less than or equal to 12 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 12 bpm.

Explanation:

In hypothesis testing, if the P - value is greater than the significance level ($\alpha$), we fail to reject the null hypothesis. Here, $\alpha = 0.05$ and the P - value is $0.2211$. Since $0.2211>0.05$, we do not have enough evidence to support the alternative hypothesis (the original claim).

Answer:

A. 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 12 bpm.