Question

Consider a sample of 52 football​ games, where 31 of them were won by the home team. Use a 0.05 significance level to test the claim that the probability that the home team wins is greater than​ one-half. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Upper H 0​: pequals0.5 Upper H 1​: pgreater than0.5 B. Upper H 0​: pequals0.5 Upper H 1​: pnot equals0.5 C. Upper H 0​: pequals0.5 Upper H 1​: pless than0.5 D. Upper H 0​: pgreater than0.5 Upper H 1​: pequals0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is nothing. ​(Round to two decimal places as​ needed.) Identify the​ P-value for this hypothesis test. The​ P-value for this hypothesis test is nothing. ​(Round to three decimal places as​ needed.) Identify the conclusion for this hypothesis test. A. Reject Upper H 0. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than​ one-half. B. Fail to reject Upper H 0. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than​ one-half. C. Reject Upper H 0. There is sufficient evidence to support the claim that the probability of the home team winning is greater than​ one-half. D. Fail to reject Upper H 0. There is sufficient evidence to support the claim that the probability of the home team winning is greater than​ one-half.

Answer 1