An annual survey of first-year college students asks 276,000 students about their attitudes on a variety of subjects. According to a recent survey, 55% 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: p=0.5 Upper H Subscript a: p not =0.5

B.

Upper H 0: p=0.5 Upper H Subscript a: p>0.5

Your answer is correct.

C.

Upper H 0: p=0.5 Upper H Subscript a: p<0.5

D.

Upper H 0: p< 0.5 Upper H Subscript a: p=0.5

Find the test statistic.

z=

(Round to two decimal places as needed.)

P=