An annual survey of first-year college students asks 272,000 students about their attitudes on a variety of subjects. According to a recent survey, 57% of first-year students believe that abortion should be legal. Use a 0.05 significance level to test the claim that over half of all first-year students believe that abortion should be legal.

Formulate the null and alternative hypotheses. Choose the correct answer below.

A.

Upper H 0

H0: pless than

<0.5

Upper H Subscript a

Ha: pequals

=0.5

B.

Upper H 0

H0: pequals

=0.5

Upper H Subscript a

Ha: pless than

<0.5

C.

Upper H 0

H0: pequals

=0.5

Upper H Subscript a

Ha: pnot equals

0.5

D.

Upper H 0

H0: pequals

=0.5

Upper H Subscript a

Ha: pgreater than

>0.5

Find the test statistic.

zequals

=

nothing

(Round to two decimal places as needed.)

Find the P-value for the found test statistic.

P-valueequals

=

nothing

(Round to four decimal places as needed.)

State the conclusion. Choose the correct answer below.

A.

Reject Upper H 0

H0. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal.

B.

Do not reject Upper H 0

H0. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal.

C.

Reject Upper H 0

H0. There is insufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal.

D.

Do not reject Upper H 0

H0. There is insufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal.