Consider a sample of 52 football games, where 31 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: p=0.5 OB. Ho: p=0.5 H₁: p=0.5 OC. Ho: p=0.5 H₁: p > 0.5 O 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.) 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 52 football games, where 31 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: p=0.5 OB. Ho: p=0.5 H₁: p=0.5 OC. Ho: p=0.5 H₁: p > 0.5 O 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.) 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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:**Educational Content on Hypothesis Testing**
**Problem Statement:**
Consider a sample of 52 football games, where 31 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:**
Choose the correct answer below.
- A. \( H_0: p > 0.5 \)
\( H_1: p = 0.5 \)
- B. \( H_0: p = 0.5 \)
\( H_1: p \neq 0.5 \)
- C. \( H_0: p = 0.5 \)
\( H_1: p > 0.5 \)
- D. \( H_0: p = 0.5 \)
\( H_1: p < 0.5 \)
**Answer:**
C. \( H_0: p = 0.5 \)
\( H_1: p > 0.5 \)
**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:**
- A. Reject \( H_0 \). There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
- B. 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.
- C. 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 not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.
**Answer:**
D. 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.
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