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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? Conclude the difference between the proportions is greater than 0

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? Conclude the difference between the proportions is greater than 0

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
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**Exercise 10.29 Algo (Inferences About the Difference Between Two Population Proportions): Partially Correct** **Hypotheses:** - Null Hypothesis (\(H_0\)): \( p_1 - p_2 \leq 0 \) - Alternative Hypothesis (\(H_a\)): \( p_1 - p_2 > 0 \) **Data Summary:** The results are based on independent samples from two populations: **Sample 1:** - \( n_1 = 100 \) - Sample proportion (\( \bar{p}_1 \)) = 0.25 **Sample 2:** - \( n_2 = 300 \) - Sample proportion (\( \bar{p}_2 \)) = 0.16 **Instructions:** - Use the pooled estimator of \( p \). **Questions:** a. **Calculate the \( p \)-value (to 4 decimal places):** Use Table 1 from Appendix B. *(Input box is present but not filled, indicating a required user response with an incorrect attempt.)* b. **Hypothesis Testing Conclusion at \( \alpha = 0.05 \):** Conclude the difference between the proportions is greater than 0. *(Correct option selected from a dropdown menu.)* **Visualization Explanation:** No graphs or diagrams are included in this document.
Transcribed Image Text:**Exercise 10.29 Algo (Inferences About the Difference Between Two Population Proportions): Partially Correct** **Hypotheses:** - Null Hypothesis (\(H_0\)): \( p_1 - p_2 \leq 0 \) - Alternative Hypothesis (\(H_a\)): \( p_1 - p_2 > 0 \) **Data Summary:** The results are based on independent samples from two populations: **Sample 1:** - \( n_1 = 100 \) - Sample proportion (\( \bar{p}_1 \)) = 0.25 **Sample 2:** - \( n_2 = 300 \) - Sample proportion (\( \bar{p}_2 \)) = 0.16 **Instructions:** - Use the pooled estimator of \( p \). **Questions:** a. **Calculate the \( p \)-value (to 4 decimal places):** Use Table 1 from Appendix B. *(Input box is present but not filled, indicating a required user response with an incorrect attempt.)* b. **Hypothesis Testing Conclusion at \( \alpha = 0.05 \):** Conclude the difference between the proportions is greater than 0. *(Correct option selected from a dropdown menu.)* **Visualization Explanation:** No graphs or diagrams are included in this document.
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