An annual survey of first-year college students asks 276,000 students about thei

Question

An annual survey of first-year college students asks 276,000 students about their attitudes on a variety of subjects. Accoding to a recert 0.05 significance level to test the claim that over haif of all first-year students believe that aborson should be lega survey, 55% of frst-year students beleve tat abortion should be egt Use Formulate the null and alternative hypotheses. Choose the correct answer below Hr p#05 HPEOS Find the test statistic (Round to two decimal places as needed Find the Pvalue for the found best statistic P-value- (Round to four decimal places as needed.) State the conclusion. Choose the correct answer below O A. Do not roigeat o There s nsauficent evidence to support the ciaim hat over haf f ll s rs beleve the sbortion should be log

Explanation / Answer

Option - C) H0: P = 0.5

                   H1: P > 0.5

The test statistic z = (p - P)/sqrt(P(1 - P)/n)

                             = (0.55 - 0.5)/sqrt(0.5 * 0.5/276000)

                             = 52.54

P-value = P(Z > 52.54)

              = 1 - P(Z < 52.54)

              = 1 - 1 = 0

As the P-value is less than the significance level (0 < 0.05), so the null hypothesis is rejected.

Option - C is the correct conclusion.

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