Suppose 250 subjects are treated with a drug that is used to treat pain and 50 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: p=0.20 H₁: p0.20 B. Ho: p=0.20 H₁: p<0.20 *** O C. Ho: p>0.20 H₁: p=0.20

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**Hypothesis Testing: Analyzing Side Effects of a Pain Treatment Drug**

**Scenario:**
Suppose 250 subjects are treated with a drug that is used to manage pain, and 50 of them developed nausea as a side effect. We are tasked with testing the claim that more than 20% of users experience nausea using a 0.05 significance level.

**Step 1: Formulate Hypotheses**
Identify the null and alternative hypotheses for this test. Choose the correct answer from the options below:

- **Option A:**
  - \( H_0: p = 0.20 \)
  - \( H_1: p \neq 0.20 \)

- **Option B:**
  - \( H_0: p = 0.20 \)
  - \( H_1: p < 0.20 \)

- **Option C:**
  - \( H_0: p > 0.20 \)
  - \( H_1: p = 0.20 \)

- **Option D:**
  - \( H_0: p = 0.20 \)
  - \( H_1: p > 0.20 \) *(Correct)*

**Step 2: Calculate Test Statistic**
Identify the test statistic for this hypothesis test. Provide the value, rounding to two decimal places as needed:

\[
\text{The test statistic for this hypothesis test is } \, \boxed{\phantom{x}}
\]

*Note: The value of the test statistic is not provided and should be calculated based on the data.*
Transcribed Image Text:**Hypothesis Testing: Analyzing Side Effects of a Pain Treatment Drug** **Scenario:** Suppose 250 subjects are treated with a drug that is used to manage pain, and 50 of them developed nausea as a side effect. We are tasked with testing the claim that more than 20% of users experience nausea using a 0.05 significance level. **Step 1: Formulate Hypotheses** Identify the null and alternative hypotheses for this test. Choose the correct answer from the options below: - **Option A:** - \( H_0: p = 0.20 \) - \( H_1: p \neq 0.20 \) - **Option B:** - \( H_0: p = 0.20 \) - \( H_1: p < 0.20 \) - **Option C:** - \( H_0: p > 0.20 \) - \( H_1: p = 0.20 \) - **Option D:** - \( H_0: p = 0.20 \) - \( H_1: p > 0.20 \) *(Correct)* **Step 2: Calculate Test Statistic** Identify the test statistic for this hypothesis test. Provide the value, rounding to two decimal places as needed: \[ \text{The test statistic for this hypothesis test is } \, \boxed{\phantom{x}} \] *Note: The value of the test statistic is not provided and should be calculated based on the data.*
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