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MATLAB: An Introduction with Applications

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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### Clinical Trial Analysis of a Drug Used to Treat Asthma

In a clinical trial of a drug used for treating asthma, 22 out of 272 subjects experienced headaches. This is based on data from the manufacturer, aiming to test the claim that less than 11% of treated subjects experience headaches. A normal distribution is used for approximation to the binomial distribution, with a significance level of 0.05. Below are the steps to complete parts (a) through (e):

#### a. Type of Test
- **Is the test two-tailed, left-tailed, or right-tailed?**
- **Answer:** Left-tailed test (selected).

#### b. Test Statistic
- **What is the test statistic?**
- **Calculated z-value:** -1.53
- **Note:** Rounded to two decimal places.

#### c. P-value
- **What is the P-value?**
- **P-value:** 0.0624
- **Note:** Rounded to four decimal places.

#### d. Null Hypothesis
- **What is the null hypothesis, and what do you conclude about it?**
- **Identify the null hypothesis:**
- A. \( H_0: p < 0.11 \)
- **B. \( H_0: p > 0.11 \)** (selected)
- C. \( H_0: p \neq 0.11 \)
- D. \( H_0: p = 0.11 \)

The calculations and conclusions help determine if the drug treatment's effect on the occurrence of headaches in subjects is statistically significant. The left-tailed test suggests testing whether the proportion is significantly less than 11%.

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