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Consider a sample of 47 football games, where 29 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. O A. Ho: p=0.5 H: p=0.5 O B. Ho: p=0.5 H:p>0.5 OC. Ho: p=0.5 H:p<0.5 OD. Ho: p>0.5 H:p=0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places a 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.

Consider a sample of 47 football games, where 29 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. O A. Ho: p=0.5 H: p=0.5 O B. Ho: p=0.5 H:p>0.5 OC. Ho: p=0.5 H:p<0.5 OD. Ho: p>0.5 H:p=0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places a 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. 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. - 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. Reject H₀. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
Transcribed Image Text: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. 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. - 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. Reject H₀. There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
**Title:** Hypothesis Testing for Home Team Advantage in Football Consider a sample of 47 football games, where 29 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.** \(H_0: p = 0.5\) \(H_1: p \neq 0.5\) - **B.** \(H_0: p = 0.5\) \(H_1: p > 0.5\) - **C.** \(H_0: p = 0.5\) \(H_1: p < 0.5\) - **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.)* **Identify the conclusion for this hypothesis test.** --- **Explanation:** This exercise involves conducting a hypothesis test for the proportion of football games won by the home team. The test examines whether the home-win proportion exceeds 0.5, using a sample of 47 games where 29 wins are by the home team. 1. **Hypotheses:** - The null hypothesis (\(H_0\)) posits that the proportion of home wins is equal to 0.5. - The alternative hypothesis (\(H_1\)) suggests that this proportion is greater than 0.5. 2. **Select Hypothesis Choice:** - Answer **B** is correct as it matches the given claim and direction (\(H_1: p > 0.5\)). 3. **Test Statistic:** - Calculate using the given proportions, sample size, and standard hypothesis testing formulas. 4. **P-value:** - Determine the P-value related to the test statistic and distribution. 5. **Conclusion:** - Compare the P
Transcribed Image Text:**Title:** Hypothesis Testing for Home Team Advantage in Football Consider a sample of 47 football games, where 29 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.** \(H_0: p = 0.5\) \(H_1: p \neq 0.5\) - **B.** \(H_0: p = 0.5\) \(H_1: p > 0.5\) - **C.** \(H_0: p = 0.5\) \(H_1: p < 0.5\) - **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.)* **Identify the conclusion for this hypothesis test.** --- **Explanation:** This exercise involves conducting a hypothesis test for the proportion of football games won by the home team. The test examines whether the home-win proportion exceeds 0.5, using a sample of 47 games where 29 wins are by the home team. 1. **Hypotheses:** - The null hypothesis (\(H_0\)) posits that the proportion of home wins is equal to 0.5. - The alternative hypothesis (\(H_1\)) suggests that this proportion is greater than 0.5. 2. **Select Hypothesis Choice:** - Answer **B** is correct as it matches the given claim and direction (\(H_1: p > 0.5\)). 3. **Test Statistic:** - Calculate using the given proportions, sample size, and standard hypothesis testing formulas. 4. **P-value:** - Determine the P-value related to the test statistic and distribution. 5. **Conclusion:** - Compare the P
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