Consider a sample of 45 football games, where 25 of them were won by the home team, Use a 0.05 significance level to test the claim that the probability that the horne team wins is greater than on Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho p>0.5 H p=0.5 O B. H, p=0.5 H p#05 O C. Ho p=0.5 H, p>0.5 O D. H, p=0.5 H,: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 sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O B. Reject H. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O C. Fail to reject H. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O D. Reject Ho. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.

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 45 football games, where 25 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 núll and alternative hypotheses for this test. Choose the correct answer below.
O A. Ho p>0.5
H: p=0.5
O B. H, p=0.5
H: p#05
O C. Ho p=0.5
H, p>0.5
O D. Ho p=0.5
H,: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 sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
O B. Reject H. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
O C. Fail to reject H. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
O D. Reject H. 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 45 football games, where 25 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 núll and alternative hypotheses for this test. Choose the correct answer below. O A. Ho p>0.5 H: p=0.5 O B. H, p=0.5 H: p#05 O C. Ho p=0.5 H, p>0.5 O D. Ho p=0.5 H,: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 sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O B. Reject H. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O C. Fail to reject H. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O D. Reject H. 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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