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 α = 0.1 level of significance. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Because npo (1-Po)=L 10, the sample size is (Round to one decimal place as needed.) 5% of the population size, and the sample satisfied. the requirements for testing the hypothesis

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
### Statistical Analysis of Acid Reflux Treatment

A study evaluates the effectiveness of a drug designed to reduce stomach acid and heal esophageal damage from acid reflux. The manufacturer claims that over 94% of patients using the drug recover within eight weeks. A clinical trial with 224 patients reports 213 recoveries after eight weeks. We will test the manufacturer’s claim using a significance level of α = 0.1.

#### Resources:
- [Standard Normal Distribution Table (Page 1)](link)
- [Standard Normal Distribution Table (Page 2)](link)

#### Hypothesis Testing

To determine if the sample data supports the manufacturer's claim, follow these steps:

1. **Verify Sample Size Conditions:**
   - Use the formula \( n p_0 (1 - p_0) \geq 10 \) to check if the sample size conditions for hypothesis testing are met.
   - The problem prompts require calculating and rounding these values to one decimal place.

2. **Sample Size Considerations:**
   - Confirm if the sample size is less than 5% of the population size. This affects whether the results can be considered statistically valid.

3. **Assessment:**
   - Properly fill in the calculations regarding \( n p_0 (1 - p_0) \), sample size, and population percentage to assess if the hypothesis testing requirements are met.

Ensure you follow proper statistical methods to draw conclusions from the given data.
Transcribed Image Text:### Statistical Analysis of Acid Reflux Treatment A study evaluates the effectiveness of a drug designed to reduce stomach acid and heal esophageal damage from acid reflux. The manufacturer claims that over 94% of patients using the drug recover within eight weeks. A clinical trial with 224 patients reports 213 recoveries after eight weeks. We will test the manufacturer’s claim using a significance level of α = 0.1. #### Resources: - [Standard Normal Distribution Table (Page 1)](link) - [Standard Normal Distribution Table (Page 2)](link) #### Hypothesis Testing To determine if the sample data supports the manufacturer's claim, follow these steps: 1. **Verify Sample Size Conditions:** - Use the formula \( n p_0 (1 - p_0) \geq 10 \) to check if the sample size conditions for hypothesis testing are met. - The problem prompts require calculating and rounding these values to one decimal place. 2. **Sample Size Considerations:** - Confirm if the sample size is less than 5% of the population size. This affects whether the results can be considered statistically valid. 3. **Assessment:** - Properly fill in the calculations regarding \( n p_0 (1 - p_0) \), sample size, and population percentage to assess if the hypothesis testing requirements are met. Ensure you follow proper statistical methods to draw conclusions from the given data.
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman