Consider a sample of 48 football​ games, where 33 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.  Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is ​(Round to two decimal places as​ needed.)   b. Identify the​ P-value for this hypothesis test. The​ P-value for this hypothesis test is ​(Round to three decimal places as​ needed.)   c. Identify the conclusion for this hypothesis test.   A.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 not sufficient evidence to support the claim that the probability of the home team winning is greater than​ one-half.   D. 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.

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 48 football​ games, where 33 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.  Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is
​(Round to two decimal places as​ needed.)
 
b. Identify the​ P-value for this hypothesis test.
The​ P-value for this hypothesis test is
​(Round to three decimal places as​ needed.)
 
c. Identify the conclusion for this hypothesis test.
 
A.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 not sufficient evidence to support the claim that the probability of the home team winning is greater than​ one-half.
 
D. 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.
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