Consider the hypothesis test below. The following results are for independent samples taken from the two populations. 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 - Ho: P1-P2 ≤0 Ha: P1 P2 > 0 Sample 1 n₁ = 100 P₁ = 0.29 Sample 2 n₂ = 300 P2 = 0.13
Consider the hypothesis test below. The following results are for independent samples taken from the two populations. 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 - Ho: P1-P2 ≤0 Ha: P1 P2 > 0 Sample 1 n₁ = 100 P₁ = 0.29 Sample 2 n₂ = 300 P2 = 0.13
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
Question
![### Hypothesis Testing Guide
**Consider the hypothesis test below.**
\[
H_0: p_1 - p_2 \leq 0
\]
\[
H_a: p_1 - p_2 > 0
\]
The following results are for independent samples taken from the two populations.
#### Sample Information
- **Sample 1**
- \( n_1 = 100 \)
- \( \bar{p}_1 = 0.29 \)
- **Sample 2**
- \( n_2 = 300 \)
- \( \bar{p}_2 = 0.13 \)
**Use 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?**
- [ ] **Select your answer** (dropdown menu with options to conclude)
---
This exercise involves performing a hypothesis test with unequal population proportions using the pooled estimator method. You will calculate the p-value and discuss your conclusion based on a significance level of 0.05.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F375a8daa-a061-40df-aa13-f324a3b06fab%2F6335f1a9-8c9f-4a37-9f7e-2cf2da9c5b71%2Fyutlea_processed.png&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing Guide
**Consider the hypothesis test below.**
\[
H_0: p_1 - p_2 \leq 0
\]
\[
H_a: p_1 - p_2 > 0
\]
The following results are for independent samples taken from the two populations.
#### Sample Information
- **Sample 1**
- \( n_1 = 100 \)
- \( \bar{p}_1 = 0.29 \)
- **Sample 2**
- \( n_2 = 300 \)
- \( \bar{p}_2 = 0.13 \)
**Use 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?**
- [ ] **Select your answer** (dropdown menu with options to conclude)
---
This exercise involves performing a hypothesis test with unequal population proportions using the pooled estimator method. You will calculate the p-value and discuss your conclusion based on a significance level of 0.05.
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