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: LessLess

than 5353%

of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.27570.2757.

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 less than or equal tolessthanorequalto

alpha.

B.

RejectReject

Upper H 0H0

because the P-value is greater thangreaterthan

alpha.

C.

Fail to rejectFailtoreject

Upper H 0H0

because the P-value is less than or equal tolessthanorequalto

alpha.

D.

Fail to rejectFailtoreject

Upper H 0H0

because the P-value is greater thangreaterthan

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 isis

sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is moremore

than 5353%.

B.

The percentage of adults that would erase all of their personal information online if they could is moremore

than 5353%.

C.

The percentage of adults that would erase all of their personal information online if they could is lessless

than or equal to 5353%.

D.

There is notisnot

sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is moremore

than 5353%.