**Transcription and Explanation of the Statistical Analysis****Context:**A clinical trial was conducted to test the effects of a certain drug used to treat asthma. Out of 300 treated subjects, 20 experienced headaches. The manufacturer claims that less than 10% of treated subjects experience headaches. A hypothesis test is conducted to verify this claim using a significance level of 0.05 and normal distribution as an approximation to the binomial distribution.**Hypothesis Test:**The text shows the results from a 1-Proportion Z Test with the following details:- **Null Hypothesis (\( H_0 \)):** The proportion of treated subjects experiencing headaches is 10% or more. - **Alternative Hypothesis (\( H_a \)):** The proportion of treated subjects experiencing headaches is less than 10%.**Computer Output Results:**1. **Test Type:** 1-PropZTest2. **Proportion Claim:** less than 0.1 (10%)3. **Z-Score (\( z \)):** 1.924500897 - This is the standardized test statistic.4. **P-Value (\( p \)):** 0.0271459142 - This is the probability of observing a test statistic as extreme as the one observed, assuming the null hypothesis is true.5. **Sample Proportion (\( \hat{p} \)):** 0.0666666667 - Calculated as the number of subjects with headaches divided by the total number of subjects (20/300).6. **Sample Size (\( n \)):** 300**Explanation of Results:**- The **p-value** (0.0271) is less than the significance level of 0.05.- Because the p-value is less than 0.05, we reject the null hypothesis.**Conclusion:**There is sufficient statistical evidence at the 0.05 significance level to support the claim that less than 10% of treated subjects experience headaches when using the drug.

Given : A certain drug is used to treat asthma. In a clinical trial of the drug, 20 of 300 treated…

Answered: A certain drug is used to treat asthma.…

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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