Consider a sample of 49 football​ games, where 28 of them were won by the home team. Use a 0.01 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​: pless than0.5 B. Upper H 0​: pequals0.5 Upper H 1​: pnot equals0.5 C. Upper H 0​: pgreater than0.5 Upper H 1​: pequals0.5 D. Upper H 0​: pequals0.5 Upper H 1​: pgreater than0.5 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. 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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 25E
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Consider a sample of 49 football​ games, where 28 of them were won by the home team. Use a 0.01 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​: pless than0.5 B. Upper H 0​: pequals0.5 Upper H 1​: pnot equals0.5 C. Upper H 0​: pgreater than0.5 Upper H 1​: pequals0.5 D. Upper H 0​: pequals0.5 Upper H 1​: pgreater than0.5 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. 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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