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Recall the data obtained for a hypothesis test for the dr Sample 1 Sample 2 n = 200 n2 = 300 P1 = 0.25 P2 = 0.13 %3D This tyne of hynothesis test will use a z test statictic T

Recall the data obtained for a hypothesis test for the dr Sample 1 Sample 2 n = 200 n2 = 300 P1 = 0.25 P2 = 0.13 %3D This tyne of hynothesis test will use a z test statictic T

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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(a) Calculate the test statistic. What is the p-value? Recall the data obtained for a hypothesis test for the difference in population proportions. Sample 1 Sample 2 n, = 200 n2 = = 300 P1 = 0.25 P2 = 0.13 This type of hypothesis test will use a z test statistic. The formula for this test statistic is given below. The sample proportions from populations 1 and 2 are given by p, and p,, and the sample sizes are given by n, and n,, respectively. Note that p is the pooled estimator of the unknown population proportion and must be calculated before finding the test statistic. P1 - P2 n1P1 + "2P2 ni + n2 z = where p = 1 + n1 1 P(1 - P) n2 Find the value of the pooled estimator for the population proportion, p. n1P1 + n2P2 ni + n2 p = 200(0.25) + 300 200 + 300
Transcribed Image Text:(a) Calculate the test statistic. What is the p-value? Recall the data obtained for a hypothesis test for the difference in population proportions. Sample 1 Sample 2 n, = 200 n2 = = 300 P1 = 0.25 P2 = 0.13 This type of hypothesis test will use a z test statistic. The formula for this test statistic is given below. The sample proportions from populations 1 and 2 are given by p, and p,, and the sample sizes are given by n, and n,, respectively. Note that p is the pooled estimator of the unknown population proportion and must be calculated before finding the test statistic. P1 - P2 n1P1 + "2P2 ni + n2 z = where p = 1 + n1 1 P(1 - P) n2 Find the value of the pooled estimator for the population proportion, p. n1P1 + n2P2 ni + n2 p = 200(0.25) + 300 200 + 300
Consider the hypothesis test. Ho: P1 - P2 < 0 Hai P1 - P2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 n1 = 200 n2 = 300 P1 = 0.25 р, 3D 0.13 (a) Calculate the test statistic. What is the p-value? (b) With a = 0.05, what is your hypothesis testing conclusion?
Transcribed Image Text:Consider the hypothesis test. Ho: P1 - P2 < 0 Hai P1 - P2 > 0 The following results are for independent samples taken from the two populations. Sample 1 Sample 2 n1 = 200 n2 = 300 P1 = 0.25 р, 3D 0.13 (a) Calculate the test statistic. What is the p-value? (b) With a = 0.05, what is your hypothesis testing conclusion?
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