A certain drug is used to treat asthma. In a clinical trial of the drug, 26 of 276 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 9% 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. 1-PropZTest prop <0.09 z -0.243984084 p-0.5963784267 p-0.0942028986 n=276 a. Is the test two-tailed, left-tailed, or right-tailed? Two-tailed test Right tailed test Left-tailed test b. What is the test statistic? (Round to two decimal places as needed.) c. What is the P-value? P-value = (Round to four decimal places as needed.) d. What is the null hypothesis, and what do you conclude about it? Identify the null hypothesis. O A. Ho: p= 0.09

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**Clinical Trial Analysis of Asthma Drug**

A clinical trial examined a drug used to treat asthma. Out of 276 treated subjects, 26 reported experiencing headaches, based on the manufacturer’s data. The calculator display provides results from testing the claim that less than 9% of treated subjects experience headaches. Using the normal distribution as an approximation to the binomial distribution, with a significance level of 0.05, proceed to answer parts (a) through (e).

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**Study Analysis Questions:**

**a. Test Type**
- What type of test is being conducted?
  - [ ] Two-tailed test
  - [ ] Right-tailed test
  - [ ] Left-tailed test

**b. Test Statistic**
- What is the test statistic value?
  - z = ____
  - *(Round to two decimal places as needed)*

**c. P-Value**
- Determine the P-value:
  - P-value = ____
  - *(Round to four decimal places as needed)*

**d. Null Hypothesis**
- What is the null hypothesis, and what conclusion can be drawn?
  - Identify the null hypothesis:
    - [ ] A. \( H_0: p = 0.09 \)

---

**Calculator Display Details:**

- **1-PropZTest**
  - **prop < 0.09**
  - **z = 0.243984084**
  - **p = 0.5963784267**
  - **\(\hat{p}\) = 0.0942028986**
  - **n = 276**

Click to select your answer(s).

---

This text is designed to help students understand how to analyze test results from a clinical trial using statistical methods. The options guide selection of the correct hypothesis test and interpretation of outcomes.
Transcribed Image Text:**Clinical Trial Analysis of Asthma Drug** A clinical trial examined a drug used to treat asthma. Out of 276 treated subjects, 26 reported experiencing headaches, based on the manufacturer’s data. The calculator display provides results from testing the claim that less than 9% of treated subjects experience headaches. Using the normal distribution as an approximation to the binomial distribution, with a significance level of 0.05, proceed to answer parts (a) through (e). --- **Study Analysis Questions:** **a. Test Type** - What type of test is being conducted? - [ ] Two-tailed test - [ ] Right-tailed test - [ ] Left-tailed test **b. Test Statistic** - What is the test statistic value? - z = ____ - *(Round to two decimal places as needed)* **c. P-Value** - Determine the P-value: - P-value = ____ - *(Round to four decimal places as needed)* **d. Null Hypothesis** - What is the null hypothesis, and what conclusion can be drawn? - Identify the null hypothesis: - [ ] A. \( H_0: p = 0.09 \) --- **Calculator Display Details:** - **1-PropZTest** - **prop < 0.09** - **z = 0.243984084** - **p = 0.5963784267** - **\(\hat{p}\) = 0.0942028986** - **n = 276** Click to select your answer(s). --- This text is designed to help students understand how to analyze test results from a clinical trial using statistical methods. The options guide selection of the correct hypothesis test and interpretation of outcomes.
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