In: Statistics and Probability
Consider a sample of 49 football games, where 27 of them were won by the home team. Use a 0.10 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. Upper H 0: p equals 0.5 Upper H 1: p less than 0.5 B. Upper H 0: p equals 0.5 Upper H 1: p greater than 0.5 C. Upper H 0: p equals 0.5 Upper H 1: p does not equal 0.5 D. Upper H 0: p greater than 0.5 Upper H 1: p equals 0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is nothing. (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is nothing. (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test.
A.
Fail to reject
Upper H0.
There
is
sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
B.
Reject
Upper H0.
There
is
sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
C.
Reject
Upper H0.
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 H0.
There
is not
sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.