Assume a significance level of alpha equals 0.05 and use the given information t

Question

Assume a significance level of alpha equals 0.05 and use the given information to complete parts (a) and (b) below.
Original claim: The proportion of male golfers is less than 0.2. The hypothesis test results in a P-value of 0.022.
a. State a conclusion about the null hypothesis. (Reject Upper H 0 or fail to reject Upper H 0.) Choose the correct answer below.
A.
Fail to reject Upper H 0 because the P-value is less than alpha.
B.
Reject Upper H 0 because the P-value is less than alpha.
C.
Fail to reject Upper H 0 because the P-value is greater than alpha.
D.
Reject Upper 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 reject the claim that the proportion of male golfers is less than 0.2.
B.
There is sufficient evidence to support the claim that the proportion of male golfers is less than 0.2.
C.
There is not sufficient evidence to reject the claim that the proportion of male golfers is less than 0.2.
D.
There is not sufficient evidence to support the claim that the proportion of male golfers is less than 0.2.

Explanation / Answer

Given :-

significance level of alpha = 0.05
claim: The proportion of male golfers is less than 0.2. The hypothesis test results in a P-value of 0.022.

B.
Reject Upper H 0 because the P-value is less than alpha.

B.
There is sufficient evidence to support the claim that the proportion of male golfers is less than 0.2

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