Question

consider a sample of 50 football 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.oa. ( h_0:p > 0.5 )( h_1:p = 0.5 )ob. ( h_0:p = 0.5 )( h_1:p > 0.5 )oc. ( h_0:p = 0.5 )( h_1:p
eq0.5 )od. ( h_0:p = 0.5 )( h_1:p < 0.5 )

Explanation:

• The null hypothesis \(H_0\) is a statement of equality. In hypothesis - testing for a proportion \(p\), when the claim is about a value (in this case, related to \(p = 0.5\)), the null hypothesis is \(H_0:p = 0.5\).
• The alternative hypothesis \(H_1\) is the claim we are trying to find evidence for. The claim is that “the probability that the home - team wins is greater than one - half”, so \(H_1:p>0.5\)

Answer:

B. \(H_0:p = 0.5\), \(H_1:p>0.5\)