Since an instant replay system for tennis was introduced at a major tournament, men challenged 1403 referee calls, with the result that 416 of the calls were overtumed. Wormen challenged 768 referee calls, and 217 of the calls were overtumed Use a 0 05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below Zds. Tel H: P #P2 Zda Id n.a H: P = P2 H: P1 P2 OE. H P1= P2 OF. H PISP2 OD. Ho P =P2 H P1 P2 H: P1 P2 Identify the test statistic z = 0 68 (Round to two decimal places as needed) Identify the P-value. Pvalue 0494 (Round to three decimal places as needed) What is the conclusion based on the hypothesis test? The P-value is the significance level of a 0 05. so the null hypothesis. There evidence to warrant rejection of the claim that women and men have equal success in challenging calls. Click to select your anwer(s) and then click Check Answer

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**Example Problem on Hypothesis Testing in Tennis**

Since an instant replay system for tennis was introduced at a major tournament, men challenged 1403 referee calls, with the result that 416 of the calls were overturned. Women challenged 768 referee calls, and 217 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below.

**Hypotheses:**

Select the appropriate hypothesis test:

- \( H_0: p_1 = p_2 \)
- \( H_1: p_1 \neq p_2 \)

**Identify the test statistic:**

\[ z = 0.68 \]

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

**Identify the P-value:**

\[ \text{P-value} = 0.494 \]

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

**Concluding the Hypothesis Test:**

What is the conclusion based on the hypothesis test?

The P-value is [ ] the significance level of \( \alpha = 0.05 \), [ ] the null hypothesis. There [ ] evidence to warrant rejection of the claim that women and men have equal success in challenging calls.

**Instructions:**

Click to select your answer(s) and then click "Check Answer."

---

This problem introduces a scenario involving statistical hypothesis testing to determine if there is a significant difference between the success rates of men and women in challenging tennis referee calls. The data collected includes the number of challenges and overturned calls for both genders, and a two-proportion z-test is used to compare these success rates at a 0.05 level of significance.
Transcribed Image Text:**Example Problem on Hypothesis Testing in Tennis** Since an instant replay system for tennis was introduced at a major tournament, men challenged 1403 referee calls, with the result that 416 of the calls were overturned. Women challenged 768 referee calls, and 217 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. **Hypotheses:** Select the appropriate hypothesis test: - \( H_0: p_1 = p_2 \) - \( H_1: p_1 \neq p_2 \) **Identify the test statistic:** \[ z = 0.68 \] *(Round to two decimal places as needed.)* **Identify the P-value:** \[ \text{P-value} = 0.494 \] *(Round to three decimal places as needed.)* **Concluding the Hypothesis Test:** What is the conclusion based on the hypothesis test? The P-value is [ ] the significance level of \( \alpha = 0.05 \), [ ] the null hypothesis. There [ ] evidence to warrant rejection of the claim that women and men have equal success in challenging calls. **Instructions:** Click to select your answer(s) and then click "Check Answer." --- This problem introduces a scenario involving statistical hypothesis testing to determine if there is a significant difference between the success rates of men and women in challenging tennis referee calls. The data collected includes the number of challenges and overturned calls for both genders, and a two-proportion z-test is used to compare these success rates at a 0.05 level of significance.
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