A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 94% of patients taking the drug are healed within 8 weeks. In clinical trials, 213 of 224 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the a=0.1 level of significance.
A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 94% of patients taking the drug are healed within 8 weeks. In clinical trials, 213 of 224 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the a=0.1 level of significance.
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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![A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 94% of patients taking the drug are healed within 8 weeks. In clinical trials, 213 of 224 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer’s claim at the \(\alpha = 0.1\) level of significance.
**Links for Reference:**
- [Click here to view the standard normal distribution table (page 1).]
- [Click here to view the standard normal distribution table (page 2).]
**Hypothesis Testing:**
- Since \(np_0(1 - p_0) = 12.6 \geq 10\), the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis are satisfied.
**What are the null and alternative hypotheses?**
\(H_0: p = 0.94\) versus \(H_1: p > 0.94\)
(Type integers or decimals. Do not round.)
**Determine the test statistic, \(z_0\):**
\(z_0 =\) \([ \text{Round to two decimal places as needed.}] \)
**Additional Information:**
- This scenario is based on Sullivan: Fundamentals of Statistics, 6e.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa25f123f-4df1-4b7f-9bfa-41171e81d86b%2F48192601-5171-45cb-a292-a8b89bf5fc82%2Fm3wukx36_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 94% of patients taking the drug are healed within 8 weeks. In clinical trials, 213 of 224 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer’s claim at the \(\alpha = 0.1\) level of significance.
**Links for Reference:**
- [Click here to view the standard normal distribution table (page 1).]
- [Click here to view the standard normal distribution table (page 2).]
**Hypothesis Testing:**
- Since \(np_0(1 - p_0) = 12.6 \geq 10\), the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis are satisfied.
**What are the null and alternative hypotheses?**
\(H_0: p = 0.94\) versus \(H_1: p > 0.94\)
(Type integers or decimals. Do not round.)
**Determine the test statistic, \(z_0\):**
\(z_0 =\) \([ \text{Round to two decimal places as needed.}] \)
**Additional Information:**
- This scenario is based on Sullivan: Fundamentals of Statistics, 6e.
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