Consider a sample of 48 football games, where 28 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. Ho: p=0.5 H:p>0.5 О В. Но: р30.5 H: p<0.5 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. 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 B. Reject Ho. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. O C. 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 D. Fail to reject Hg. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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13. Consider a sample of 48 football games, where 28 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.
А. Но: р30.5
H1: p>0.5
О В. Но: р30,5
H1: p<0.5
ОС. Но: р30.5
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. 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 B. Reject Ho. There is sufficient evidence to support the claim that the probability of the
home team winning is greater than one-half.
OC. 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 D. 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.
Transcribed Image Text:13. Consider a sample of 48 football games, where 28 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. А. Но: р30.5 H1: p>0.5 О В. Но: р30,5 H1: p<0.5 ОС. Но: р30.5 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. 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 B. Reject Ho. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. OC. 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 D. 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.
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