Homework Help is Here – Start Your Trial Now!
Math
Statistics
Is there a particular acid reflux drug that is more effective? To answer this question, we will use a random sample of patients suffering from acid reflux and randomly place them in three groups. One group will take Prilosec, one group will take Nexium, and one group will take Zantac. We will perform a hypothesis test for homogeneity, looking at the proportion of patients from each group whose acid reflux improves after taking the drug (results shown in the table below). Test at the a = - 0.01 level of significance.

Is there a particular acid reflux drug that is more effective? To answer this question, we will use a random sample of patients suffering from acid reflux and randomly place them in three groups. One group will take Prilosec, one group will take Nexium, and one group will take Zantac. We will perform a hypothesis test for homogeneity, looking at the proportion of patients from each group whose acid reflux improves after taking the drug (results shown in the table below). Test at the a = - 0.01 level of significance.

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
See similar textbooks
icon
Related questions
Question

Help me with part b and c

### Analyzing the Effectiveness of Acid Reflux Drugs #### Research Question Is there a particular acid reflux drug that is more effective? To answer this question, a random sample of patients suffering from acid reflux was taken and randomly divided into three groups. Each group was administered a different drug: Prilosec, Nexium, or Zantac. A hypothesis test for homogeneity was performed to analyze the proportion of patients in each group whose acid reflux improved after taking the drug. This test was conducted at a 0.01 level of significance. #### Hypotheses For this test, the correct hypotheses are: - \( H_0: p_1 = p_2 = p_3 \) (The proportions are equal among the three drugs) - \( H_1: \) At least one proportion is different from the others #### Sample Data | Drug | Condition Improved | Condition Not Improved | |:-------------------:|:------------------:|:----------------------:| | Prilosec | 22 | 18 | | Nexium | 43 | 20 | | Zantac | 37 | 18 | #### Statistical Analysis - **Test Statistic:** The test statistic should be provided up to two decimal places. - **P-value:** Record the P-value up to four decimal places. If less than 0.001, answer with 0. #### Results and Conclusion - **Correct Result:** The test concluded that we **Do not Reject the Null Hypothesis**. - **Appropriate Conclusion:** There is not enough evidence to suggest that one of the drugs is more effective than the others.
Transcribed Image Text:### Analyzing the Effectiveness of Acid Reflux Drugs #### Research Question Is there a particular acid reflux drug that is more effective? To answer this question, a random sample of patients suffering from acid reflux was taken and randomly divided into three groups. Each group was administered a different drug: Prilosec, Nexium, or Zantac. A hypothesis test for homogeneity was performed to analyze the proportion of patients in each group whose acid reflux improved after taking the drug. This test was conducted at a 0.01 level of significance. #### Hypotheses For this test, the correct hypotheses are: - \( H_0: p_1 = p_2 = p_3 \) (The proportions are equal among the three drugs) - \( H_1: \) At least one proportion is different from the others #### Sample Data | Drug | Condition Improved | Condition Not Improved | |:-------------------:|:------------------:|:----------------------:| | Prilosec | 22 | 18 | | Nexium | 43 | 20 | | Zantac | 37 | 18 | #### Statistical Analysis - **Test Statistic:** The test statistic should be provided up to two decimal places. - **P-value:** Record the P-value up to four decimal places. If less than 0.001, answer with 0. #### Results and Conclusion - **Correct Result:** The test concluded that we **Do not Reject the Null Hypothesis**. - **Appropriate Conclusion:** There is not enough evidence to suggest that one of the drugs is more effective than the others.
Expert Solution
Step 1

The test statistic is given below:

χ2=∑Oi-Ei2Ei

 

Here,

Oi represents the observed values

Ei represents the expected values

 

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Anova and Design of Experiments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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
SEE MORE TEXTBOOKS