Consider the hypothesis test below. Ho : P1 - p2 < O H. : P1 – P2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 n1 = 100 n2 = 300 P1 0.27 P2 = 0.15 Use pooled estimator of p. a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. b. With a = =0.05, what is your hypothesis testing conclusion? - Select your answer-
Consider the hypothesis test below. Ho : P1 - p2 < O H. : P1 – P2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 n1 = 100 n2 = 300 P1 0.27 P2 = 0.15 Use pooled estimator of p. a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. b. With a = =0.05, what is your hypothesis testing conclusion? - Select your answer-
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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![### Hypothesis Testing
**Consider the hypothesis test below.**
- Null Hypothesis (\(H_0\)): \( p_1 - p_2 \leq 0 \)
- Alternative Hypothesis (\(H_a\)): \( p_1 - p_2 > 0 \)
The hypothesis test involves the following results from independent samples taken from two populations:
#### Sample Descriptions
**Sample 1:**
- Sample size (\(n_1\)): 100
- Sample proportion (\(\bar{p}_1\)): 0.27
**Sample 2:**
- Sample size (\(n_2\)): 300
- Sample proportion (\(\bar{p}_2\)): 0.15
**Instructions:**
- Use the pooled estimator of \(p\).
**Questions:**
a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B.
b. With \(\alpha = 0.05\), what is your hypothesis testing conclusion?
[Answer Options in Dropdown]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6387f1fe-f7de-460c-a439-51c8967659dd%2Ff5fcf4b3-9c8d-4ec9-8de7-37faa711cdc9%2Fnsw8bjd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing
**Consider the hypothesis test below.**
- Null Hypothesis (\(H_0\)): \( p_1 - p_2 \leq 0 \)
- Alternative Hypothesis (\(H_a\)): \( p_1 - p_2 > 0 \)
The hypothesis test involves the following results from independent samples taken from two populations:
#### Sample Descriptions
**Sample 1:**
- Sample size (\(n_1\)): 100
- Sample proportion (\(\bar{p}_1\)): 0.27
**Sample 2:**
- Sample size (\(n_2\)): 300
- Sample proportion (\(\bar{p}_2\)): 0.15
**Instructions:**
- Use the pooled estimator of \(p\).
**Questions:**
a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B.
b. With \(\alpha = 0.05\), what is your hypothesis testing conclusion?
[Answer Options in Dropdown]
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