Question

Consider a sample of 51 football​ games, where 30 of them were won by the home...

Consider a sample of 51 football​ games, where 30 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​: pless than0.5

C. Upper H 0​: pequals0.5 Upper H 1​: pnot equals0.5

D. Upper H 0​: pgreater than0.5 Upper H 1​: pequals0.5

Identify the test statistic for this hypothesis test. T

he test statistic for this hypothesis test is _______ ​(Round to two decimal places as​ needed.)

Identify the​ P-value for this hypothesis test.

The​ P-value for this hypothesis test is ______. ​(Round to three decimal places as​ needed.

) Identify the conclusion for this hypothesis test.

A. 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.

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. 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.

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