assume a significance level of $alpha = 0.05$ and use the given information to complete parts (a) and (b)…

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 69 bpm. the hypothesis test results in a p - value of 0.0673. a. fail to reject $h_0$ because the p - value is less than or equal to $alpha$. reject $h_0$ because the p - value is less than or equal to $alpha$. fail to reject $h_0$ because the p - value is greater than $alpha$. reject $h_0$ because the p - value is greater than $alpha$. 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 sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is 69 bpm. b. the mean pulse rate (in beats per minute) of the group of adult males is not 69 bpm. c. 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 69 bpm. d. the mean pulse rate (in beats per minute) of the group of adult males is 69 bpm.
Answer
Explanation:
Step1: Recall hypothesis - testing rule
In hypothesis - testing, if the P - value is greater than the significance level $\alpha$, we fail to reject the null hypothesis $H_0$. Given $\alpha = 0.05$ and P - value $=0.0673$. Since $0.0673>0.05$, we fail to reject $H_0$.
Step2: Determine the final conclusion
When we fail to reject the null hypothesis, it means there is not sufficient evidence to reject the original claim. The original claim is that the mean pulse rate of a certain group of adult males is 69 bpm. So, there is not sufficient evidence to warrant rejection of the claim that the mean pulse rate of the group of adult males is 69 bpm.
Answer:
a. C. Fail to reject $H_0$ because the P - value is greater than $\alpha$. b. C. 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 69 bpm.