Consider a sample of 48 football games, where 33 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. OA. Ho: p=0.5 H₁: p0.5 B. Ho: p=0.5 H₁: p>0.5 OC. Ho: p=0.5 H₁: p<0.5 D. Ho:p> 0.5 H₁: 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.)

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Consider a sample of 48 football games, where 33 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. Ho: p=0.5
H₁: p0.5
B. Ho: p=0.5
H₁: p>0.5
Ho: p=0.5
H₁: p<0.5
D. Ho: p > 0.5
H₁: 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.)
Transcribed Image Text:Consider a sample of 48 football games, where 33 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. Ho: p=0.5 H₁: p0.5 B. Ho: p=0.5 H₁: p>0.5 Ho: p=0.5 H₁: p<0.5 D. Ho: p > 0.5 H₁: 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.)
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Follow-up Question
**Identifying the Conclusion for this Hypothesis Test**

In this exercise, you are presented with four possible conclusions for a hypothesis test regarding the probability of the home team winning being greater than one-half. Choose the correct conclusion based on the test results.

**Options:**

- **A.** Reject \( H_0 \). There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
- **B.** Reject \( H_0 \). There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
- **C.** Fail to reject \( H_0 \). 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 \( H_0 \). There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.

To make an accurate conclusion, it's essential to understand the meanings of "Reject \( H_0 \)" and "Fail to reject \( H_0 \)" in the context of hypothesis testing:
- **Reject \( H_0 \):** This indicates that the evidence supports the alternative hypothesis \( H_1 \).
- **Fail to reject \( H_0 \):** This indicates that the evidence does not support the alternative hypothesis \( H_1 \), suggesting the null hypothesis \( H_0 \) is plausible.

Based on the results of your hypothesis test, choose the appropriate conclusion from the options provided.
Transcribed Image Text:**Identifying the Conclusion for this Hypothesis Test** In this exercise, you are presented with four possible conclusions for a hypothesis test regarding the probability of the home team winning being greater than one-half. Choose the correct conclusion based on the test results. **Options:** - **A.** Reject \( H_0 \). There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. - **B.** Reject \( H_0 \). There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. - **C.** Fail to reject \( H_0 \). 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 \( H_0 \). There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. To make an accurate conclusion, it's essential to understand the meanings of "Reject \( H_0 \)" and "Fail to reject \( H_0 \)" in the context of hypothesis testing: - **Reject \( H_0 \):** This indicates that the evidence supports the alternative hypothesis \( H_1 \). - **Fail to reject \( H_0 \):** This indicates that the evidence does not support the alternative hypothesis \( H_1 \), suggesting the null hypothesis \( H_0 \) is plausible. Based on the results of your hypothesis test, choose the appropriate conclusion from the options provided.
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Follow-up Question

What is the P-value for this hypothesis test?

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