Consider a sample of 48 football games, where 31 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. O A. Ho: p= 0.5 H,:p<0.5 O B. Ho: p>0.5 H1:p=0.5 OC. Ho: p= 0.5 H1:p#0.5 D. 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 as needed.)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Determine Test Statistic

Detemine P-value

Reject or Fail to reject?

**Hypothesis Testing: Probability of Home Team Winning**

Consider a sample of 48 football games, where 31 of them were won by the home team. We will use a 0.05 significance level to test the claim that the probability of the home team winning is greater than one-half.

**Identify the Null and Alternative Hypotheses for this Test:**

- **Option A:**
  - \( H_0: p = 0.5 \)
  - \( H_1: p < 0.5 \)

- **Option B:**
  - \( H_0: p > 0.5 \)
  - \( H_1: p = 0.5 \)

- **Option C:**
  - \( H_0: p = 0.5 \)
  - \( H_1: p \neq 0.5 \)

- **Option D (Correct):**
  - \( H_0: p = 0.5 \)
  - \( H_1: p > 0.5 \)

**Identify the Test Statistic for this Hypothesis Test:**

The test statistic for this hypothesis test is \(\_\_\_\_\_\_\).

*(Round to two decimal places as needed.)*

This exercise illustrates how to set up null and alternative hypotheses for testing a claim about a population proportion, as well as finding and interpreting the test statistic.
Transcribed Image Text:**Hypothesis Testing: Probability of Home Team Winning** Consider a sample of 48 football games, where 31 of them were won by the home team. We will use a 0.05 significance level to test the claim that the probability of the home team winning is greater than one-half. **Identify the Null and Alternative Hypotheses for this Test:** - **Option A:** - \( H_0: p = 0.5 \) - \( H_1: p < 0.5 \) - **Option B:** - \( H_0: p > 0.5 \) - \( H_1: p = 0.5 \) - **Option C:** - \( H_0: p = 0.5 \) - \( H_1: p \neq 0.5 \) - **Option D (Correct):** - \( H_0: p = 0.5 \) - \( H_1: p > 0.5 \) **Identify the Test Statistic for this Hypothesis Test:** The test statistic for this hypothesis test is \(\_\_\_\_\_\_\). *(Round to two decimal places as needed.)* This exercise illustrates how to set up null and alternative hypotheses for testing a claim about a population proportion, as well as finding and interpreting the test statistic.
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