Assume a significance level of a=0.05, The correct answer are:
a) D) Fail to reject H0 because the P-value is greater than α.
b) Without using technical terms 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.
What is the hypothesis?
In hypothesis testing, we have two competing hypotheses: the null hypothesis (H0) and the alternative hypothesis (Ha). The null hypothesis is the default assumption, and the alternative hypothesis is the one we hope to prove.
The significance level (α) is the threshold we set for rejecting the null hypothesis. In this case, α = 0.05.
So, the P-value is 0.0874, which is greater than α = 0.05.
Therefore, we fail to reject the null hypothesis.
See text below
Assume a significance level of a=0.05 and use the given information to complete parts (a) and (b) below. Original claim:
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 0.0874.
a) State a conclusion about the null hypothesis. (Reject H0
or fail to reject H0.) Choose the correct answer below.
A) Reject H0 because the P-value is less than or equal to α.
B) Reject H0 because the P-value is greater than α.
C) Fail to reject H0 because the P-value is less than or equal to α.
D) Fail to reject H0 because the P-value is greater than α.
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.