An annual survey of first-year college students asks 273,000 students about their attitudes on a variety of subjects. According to a recent survey, 51%

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.

 

1.Formulate the null and alternative hypotheses. Choose the correct answer below. A. H0: =0.5, Ha: <0.5 B. H0:=0.5, Ha: ≠0.5 C. H0: =0.5, Ha: >0.5 D. H0: <0.5, Ha: =0.5

 

2. Find the test statistic. z=? (Round to two decimal places as needed.)

 

3. Find the P-value for the found test statistic. P-value=? (Round to four decimal places as needed.)

 

4. State the conclusion. Choose the correct answer below. A. Reject H0. There is insufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. B. Do not reject 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 H0. There is sufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal. D. Do not reject H0. There is insufficient evidence to support the claim that over half of all first-year students believe that abortion should be legal.