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opulations. Ho: P1 Ha: P₁ Sample 1 n₁ = 100 P₁ = 0.29 P2 ≤0 P2 > 0 Sampl 122 P₂ = =

opulations. Ho: P1 Ha: P₁ Sample 1 n₁ = 100 P₁ = 0.29 P2 ≤0 P2 > 0 Sampl 122 P₂ = =

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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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 1 | Sample 2 | |----------------|----------|----------| | \( n_1 = 100 \)| \( n_2 = 300 \) | | \( \bar{p}_1 = 0.29 \) | \( \bar{p}_2 = 0.13 \) | Use pooled estimator of \( p \). a. What is the *p*-value (to 4 decimals)? Use Table 1 from [Appendix B](#). **0.0002** b. With \( \alpha = 0.05 \), what is your hypothesis testing conclusion? **Cannot conclude the difference between the proportions is greater than 0.**
Transcribed Image Text: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 1 | Sample 2 | |----------------|----------|----------| | \( n_1 = 100 \)| \( n_2 = 300 \) | | \( \bar{p}_1 = 0.29 \) | \( \bar{p}_2 = 0.13 \) | Use pooled estimator of \( p \). a. What is the *p*-value (to 4 decimals)? Use Table 1 from [Appendix B](#). **0.0002** b. With \( \alpha = 0.05 \), what is your hypothesis testing conclusion? **Cannot conclude the difference between the proportions is greater than 0.**
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