Suppose 206 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20% of users develop nausea. BERECH Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: p=0.20 H₁: p<0.20 OB. Ho p=0.20 H₁: p>0.20 OC. Ho p>0.20 H₁: p=0.20 O D. Ho: p=0.20 H₁: p=0.20 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. Fail to reject Ho. There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. OB. Fail to reject Ho. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. OC. Reject Ho. There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. D. Reject Ho. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea.

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### Hypothesis Testing for Proportion of Users Developing Nausea

**Scenario:**  
Suppose 206 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20% of users develop nausea.

**Hypothesis Identification:**
Identify the null and alternative hypotheses for this test. Choose the correct answer below.

- **A.** \(H_0\): \( p = 0.20 \)  
  \(H_1\): \( p < 0.20 \)
  
- **B.** \(H_0\): \( p = 0.20 \)  
  \(H_1\): \( p > 0.20 \)
  
- **C.** \(H_0\): \( p > 0.20 \)  
  \(H_1\): \( p = 0.20 \)
  
- **D.** \(H_0\): \( p = 0.20 \)  
  \(H_1\): \( p \neq 0.20 \)

**Test Statistic Identification:**
Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is \( \Box \)  
(Round to two decimal places as needed.)

**P-Value Identification:**
Identify the P-value for this hypothesis test.

The P-value for this hypothesis test is \( \Box \)  
(Round to three decimal places as needed.)

**Conclusion Identification:**
Identify the conclusion for this hypothesis test.

- **A.** Fail to reject \(H_0\). There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea.
- **B.** Fail to reject \(H_0\). There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea.
- **C.** Reject \(H_0\). There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea.
- **D.** Reject \(H_0\). There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea.

---
**Graphical and Diagram Explanation:**
There are no graphs or diagrams included in this text.

---

This problem involves hypothesis testing for a population proportion. You'll need
Transcribed Image Text:### Hypothesis Testing for Proportion of Users Developing Nausea **Scenario:** Suppose 206 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20% of users develop nausea. **Hypothesis Identification:** Identify the null and alternative hypotheses for this test. Choose the correct answer below. - **A.** \(H_0\): \( p = 0.20 \) \(H_1\): \( p < 0.20 \) - **B.** \(H_0\): \( p = 0.20 \) \(H_1\): \( p > 0.20 \) - **C.** \(H_0\): \( p > 0.20 \) \(H_1\): \( p = 0.20 \) - **D.** \(H_0\): \( p = 0.20 \) \(H_1\): \( p \neq 0.20 \) **Test Statistic Identification:** Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is \( \Box \) (Round to two decimal places as needed.) **P-Value Identification:** Identify the P-value for this hypothesis test. The P-value for this hypothesis test is \( \Box \) (Round to three decimal places as needed.) **Conclusion Identification:** Identify the conclusion for this hypothesis test. - **A.** Fail to reject \(H_0\). There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. - **B.** Fail to reject \(H_0\). There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. - **C.** Reject \(H_0\). There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. - **D.** Reject \(H_0\). There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. --- **Graphical and Diagram Explanation:** There are no graphs or diagrams included in this text. --- This problem involves hypothesis testing for a population proportion. You'll need
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