1. Use the sample data below to test the hypotheses Ho: P1 = P2 P3 H: Not all population proportions are equal where p; is the population proportion of Yes responses for population i. Using a .05 level of significance, what is the p-value and what is your conclusion? Populations Response 1 Yes 150 150 96 100 150 104 No
1. Use the sample data below to test the hypotheses Ho: P1 = P2 P3 H: Not all population proportions are equal where p; is the population proportion of Yes responses for population i. Using a .05 level of significance, what is the p-value and what is your conclusion? Populations Response 1 Yes 150 150 96 100 150 104 No
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
![**Hypothesis Testing Example**
1. **Objective:** Use the sample data below to test the hypotheses:
- Null Hypothesis (\(H_0\)): \(p_1 = p_2 = p_3\)
- Alternative Hypothesis (\(H_a\)): Not all population proportions are equal
Where \(p_i\) is the population proportion of Yes responses for population \(i\). Using a 0.05 level of significance, what is the p-value and what is your conclusion?
**Data Table:**
- **Response:**
- **Yes**
- Population 1: 150
- Population 2: 150
- Population 3: 96
- **No**
- Population 1: 100
- Population 2: 150
- Population 3: 104
**Instructions:**
To analyze the data, apply a statistical test appropriate for comparing proportions, such as the Chi-Square Test for Homogeneity. Calculate the p-value and compare it with the significance level of 0.05 to determine whether to reject the null hypothesis. Conclude whether there is a significant difference in the population proportions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F616dd738-61a1-4d54-a0a4-6c3974508f32%2F6d7fa1b6-ac64-4fe3-971e-3728986d3bf0%2F0y70dvc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing Example**
1. **Objective:** Use the sample data below to test the hypotheses:
- Null Hypothesis (\(H_0\)): \(p_1 = p_2 = p_3\)
- Alternative Hypothesis (\(H_a\)): Not all population proportions are equal
Where \(p_i\) is the population proportion of Yes responses for population \(i\). Using a 0.05 level of significance, what is the p-value and what is your conclusion?
**Data Table:**
- **Response:**
- **Yes**
- Population 1: 150
- Population 2: 150
- Population 3: 96
- **No**
- Population 1: 100
- Population 2: 150
- Population 3: 104
**Instructions:**
To analyze the data, apply a statistical test appropriate for comparing proportions, such as the Chi-Square Test for Homogeneity. Calculate the p-value and compare it with the significance level of 0.05 to determine whether to reject the null hypothesis. Conclude whether there is a significant difference in the population proportions.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman