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 73 bpm. the hypothesis test results in a p - value of 0.0765. a. state a conclusion about the null hypothesis. (reject $h_0$ or fail to reject $h_0$.) choose the correct answer below. a. fail to reject $h_0$ because the p - value is greater than $\alpha$. b. fail to reject $h_0$ because the p - value is less than or equal to $\alpha$. c. reject $h_0$ because the p - value is less than or equal to $\alpha$. d. reject $h_0$ because the p - value is greater than $\alpha$.

Explanation:

Step1: Recall the decision rule for hypothesis testing

If \(P - value\leq\alpha\), reject \(H_{0}\). If \(P - value>\alpha\), fail to reject \(H_{0}\).

Step2: Compare the P - value and \(\alpha\)

Given \(\alpha = 0.01\) and \(P - value=0.0765\). Since \(0.0765>0.01\) (i.e., \(P - value>\alpha\)).

Answer:

A. Fail to reject \(H_{0}\) because the P - value is greater than \(\alpha\)