Assume a significance level of alpha equals 0.05=0.05 and use the given informat

Question

Assume a significance level of

alpha equals 0.05=0.05

and use the given information to complete parts (a) and (b) below.Original claim: The proportion of male golfers is

moremore

than

0.40.4.

The hypothesis test results in a P-value of

0.0670.067.

a. State a conclusion about the null hypothesis. (Reject

Upper H 0H0

or fail to reject

Upper H 0H0.)

Choose the correct answer below.

A.

RejectReject

Upper H 0H0

because the P-value is

lessless

than

alpha.

B.

Fail to rejectFail to reject

Upper H 0H0

because the P-value is

lessless

than

alpha.

C.

RejectReject

Upper H 0H0

because the P-value is

greatergreater

than

alpha.

D.

Fail to rejectFail to reject

Upper H 0H0

because the P-value is

greatergreater

than

alpha.

b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correctconclusion?

A.

There

is notis not

sufficient evidence to support the claim that the proportion of male golfers is

moremore

than

0.40.4.

B.

There

isis

sufficient evidence to reject the claim that the proportion of male golfers is

moremore

than

0.40.4.

C.

There

isis

sufficient evidence to support the claim that the proportion of male golfers is

moremore

than

0.40.4.

D.

There

is notis not

sufficient evidence to reject the claim that the proportion of male golfers is

moremore

than

0.40.4.

Explanation / Answer

a. Here p-value = 0.067 > 0.05 = level of significance

Hence, we fail to reject H0.

Hence, Option (D) is the correct choice. (Ans).

b. The correct conclusion is: There is not sufficient evidence to support the claim that the proportion of male golfers is more than 0.4.

Hence, Option (A) is the correct choice. (Ans).

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