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Consider the hypothesis test below. $$ \begin{array}{1} H_{0}: p_{1}-p-{2} \leq ® \\ H_{a}: p_{1}-p_{2}>0 \end{array} $$ The following results are for independent samples taken from the two populations. $$ \begin{array}{11} \text { Sample 1 } & \text { Sample 2 } \\ n_{1}=200 & n_{2}=300 \\ \bar{p}_{1}=0.29 & \bar{p}_{2}=0.13 \end{array} $$ Use pooled estimator of Sps. a. What is the value of the test statistic (to 2 decimals)? 4.22 b. What is the $p$-value (to 4 decimals)? (3) c. With $\alpha=.05$, what is your hypothesis testing conclusion? Conclude the difference between the proportions is greater than 0

Consider the hypothesis test below. $$ \begin{array}{1} H_{0}: p_{1}-p-{2} \leq ® \\ H_{a}: p_{1}-p_{2}>0 \end{array} $$ The following results are for independent samples taken from the two populations. $$ \begin{array}{11} \text { Sample 1 } & \text { Sample 2 } \\ n_{1}=200 & n_{2}=300 \\ \bar{p}_{1}=0.29 & \bar{p}_{2}=0.13 \end{array} $$ Use pooled estimator of Sps. a. What is the value of the test statistic (to 2 decimals)? 4.22 b. What is the $p$-value (to 4 decimals)? (3) c. With $\alpha=.05$, 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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Consider the hypothesis test below. $$ \begin{array}{1} H_{0}: p_{1}-p_{2} \leq ® \\ H_{a}: p_{1}-p_{2}>0 \end{array} $$ The following results are for independent samples taken from the two populations. $$ \begin{array}{11} \text { Sample 1 } & \text { Sample 2 } \\ n_{1}=200 & n_{2}=300 \\ \bar{p}_{1}=0.29 & \bar{p}_{2}=0.13 \end{array} $$ Use pooled estimator of $p$. a. What is the value of the test statistic (to 2 decimals)? 4.22 b. What is the $p$-value (to 4 decimals)? (3) c. With $\alpha=.05$, what is your hypothesis testing conclusion? Conclude the difference between the proportions is greater than 0 Hide Feedback Partially Correct SP. PB. 156|
Transcribed Image Text:Consider the hypothesis test below. $$ \begin{array}{1} H_{0}: p_{1}-p_{2} \leq ® \\ H_{a}: p_{1}-p_{2}>0 \end{array} $$ The following results are for independent samples taken from the two populations. $$ \begin{array}{11} \text { Sample 1 } & \text { Sample 2 } \\ n_{1}=200 & n_{2}=300 \\ \bar{p}_{1}=0.29 & \bar{p}_{2}=0.13 \end{array} $$ Use pooled estimator of $p$. a. What is the value of the test statistic (to 2 decimals)? 4.22 b. What is the $p$-value (to 4 decimals)? (3) c. With $\alpha=.05$, what is your hypothesis testing conclusion? Conclude the difference between the proportions is greater than 0 Hide Feedback Partially Correct SP. PB. 156|
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