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Consider a sample of 47 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.

Consider a sample of 47 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.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Consider a sample of 47 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. O A. Ho: p=0.5 H₁: p=0.5 ⒸB. Ho: p=0.5 H₁: p>0.5 O C. Ho:p>0.5 H₁: p=0.5 O D. Ho: p=0.5 H₁: p<0.5 Identify the test statistic for this hypothesis test. The 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. O A. Fail to reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. B. Reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O C. Reject Ho. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O D. Fail to reject Ho. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
Transcribed Image Text:Consider a sample of 47 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. O A. Ho: p=0.5 H₁: p=0.5 ⒸB. Ho: p=0.5 H₁: p>0.5 O C. Ho:p>0.5 H₁: p=0.5 O D. Ho: p=0.5 H₁: p<0.5 Identify the test statistic for this hypothesis test. The 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. O A. Fail to reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. B. Reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O C. Reject Ho. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O D. Fail to reject Ho. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
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