Consider a sample of 48football​ games, where 31 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. H0​: p=0.5     H1​: p>0.5   B. H0​: p=0.5      H1​: p≠0.5   C. H0​: p=0.5      H1​: p<0.5   D. H0​: 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.   A. Reject H0. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than​ one-half. B. Reject H0. There is sufficient evidence to support the claim that the probability of the home team winning is greater than​ one-half. C. Fail to reject H0. There is sufficient evidence to support the claim that the probability of the home team winning is greater than​ one-half. D. Fail to reject H0. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than​ one-half.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Consider a sample of 48football​ games, where 31 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. H0​: p=0.5
    H1​: p>0.5
 
B. H0​: p=0.5
     H1​: p≠0.5
 
C. H0​: p=0.5
     H1​: p<0.5
 
D. H0​: 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.
 
A. Reject H0. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than​ one-half.
B. Reject H0. There is sufficient evidence to support the claim that the probability of the home team winning is greater than​ one-half.
C. Fail to reject H0. There is sufficient evidence to support the claim that the probability of the home team winning is greater than​ one-half.
D. Fail to reject H0. 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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