A certain drug is used to treat asthma. In a clinical trial of the drug. of 2/2 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 11% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. a. Is the test two-tailed, left-tailed, or right-tailed? O Right tailed test OTwo-tailed test Left-tailed test b. What is the test statistic? z = - 1.53 (Round to two decimal places as needed.) c. What is the P-value? P-value= (Round to four decimal places as needed.) C 1-Prop2Test prop <0.11 z= 1.53479149 p=0.0624175264 p=0.0808823529 n=272

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**Clinical Trial Analysis of Asthma Drug**

In a clinical trial for a specific asthma medication, 22 out of 272 treated subjects reported experiencing headaches. This analysis explores the claim that less than 11% of treated subjects experienced headaches, using the normal distribution as an approximation to the binomial distribution. We will conduct a hypothesis test with a significance level of 0.05 to evaluate this claim.

**Test Components:**

1. **Tail of the Test:**
   - Is the test two-tailed, left-tailed, or right-tailed?
     - Right-tailed test
     - Two-tailed test
     - **Left-tailed test (Selected)**

2. **Test Statistic:**
   - The test statistic, denoted as \( z \), is calculated as:
     - \( z = -1.53 \) 
     - (Rounded to two decimal places as needed)

3. **P-Value:**
   - The P-value is yet to be determined (Round to four decimal places as needed).

**Calculator Display Summary:**

- **1-PropZTest Summary:**
  - \( \text{prop} < 0.11 \)
  - \( z = -1.534791494 \)
  - \( p = 0.06241735264 \) (Preliminary P-value)
  - \( \hat{p} = 0.0808823529 \) (Sample proportion)
  - \( n = 272 \)

This data allows students to analyze the hypothesis test structure, understand the implications of the test statistic value, and interpret the P-value for decision-making regarding the hypothesis.
Transcribed Image Text:**Clinical Trial Analysis of Asthma Drug** In a clinical trial for a specific asthma medication, 22 out of 272 treated subjects reported experiencing headaches. This analysis explores the claim that less than 11% of treated subjects experienced headaches, using the normal distribution as an approximation to the binomial distribution. We will conduct a hypothesis test with a significance level of 0.05 to evaluate this claim. **Test Components:** 1. **Tail of the Test:** - Is the test two-tailed, left-tailed, or right-tailed? - Right-tailed test - Two-tailed test - **Left-tailed test (Selected)** 2. **Test Statistic:** - The test statistic, denoted as \( z \), is calculated as: - \( z = -1.53 \) - (Rounded to two decimal places as needed) 3. **P-Value:** - The P-value is yet to be determined (Round to four decimal places as needed). **Calculator Display Summary:** - **1-PropZTest Summary:** - \( \text{prop} < 0.11 \) - \( z = -1.534791494 \) - \( p = 0.06241735264 \) (Preliminary P-value) - \( \hat{p} = 0.0808823529 \) (Sample proportion) - \( n = 272 \) This data allows students to analyze the hypothesis test structure, understand the implications of the test statistic value, and interpret the P-value for decision-making regarding the hypothesis.
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