Consider a sample of 50 football games, where 27 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. O A. $H_0: p = 0.5$ $H_1: p \neq 0.5$ O B. $H_0: p > 0.5$ $H_1: p = 0.5$ O C. $H_0: p = 0.5$ $H_1: p > 0.5$ O D. $H_0: p = 0.5$ $H_1: p < 0.5$ 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.)
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Let $p$ be the true proportion of home team wins. The claim is $p > 0.5$. Step 2: Formulate the null and alternative hypotheses. The null hypothesis ($H_0$) is a statement of no effect or no difference, and it usually includes an equality. The alternative Show more…
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