An annual survey of first-year college students asks

274 comma 000274,000

students about their attitudes on a variety of subjects. According to a recent survey,

5353%

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 0H0:

pequals=0.5

Upper H Subscript aHa:

pless than<0.5

B.

Upper H 0H0:

pequals=0.5

Upper H Subscript aHa:

pnot equals0.5

C.

Upper H 0H0:

pequals=0.5

Upper H Subscript aHa:

pgreater than>0.5

D.

Upper H 0H0:

pless than<0.5

Upper H Subscript aHa:

pequals=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.

Do not reject

Upper H 0H0.

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

B.

Reject

Upper H 0H0.

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

C.

Do not reject

Upper H 0H0.

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

D.

Reject

Upper H 0H0.

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