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a) what test statistic should be used b) the p value of this test statistic c) confidence interval at 95% for the difference p1-p2

a) what test statistic should be used b) the p value of this test statistic c) confidence interval at 95% for the difference p1-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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a) what test statistic should be used
b) the p value of this test statistic
c) confidence interval at 95% for the difference p1-p2

Random samples of 110 homes in Kingston, Ontario (n1) and 100 homes in Owen Sound, Ontario (n2) were selected. Each home was examined for the presence of asbestos, and it was found that 20 homes in Owen Sound and 35 homes in Kingston had some presence of asbestos. We would like to test whether the proportion of homes with asbestos in Kingston (p1) is greater than the proportion of homes in Owen Sound with asbestos (pa). What test statistic should we use? Here, we will denote by p the proportion of homes with asbestos in Kingston and Owen Sound combined. Select one: O a. Z = N(0, 1) (P1(1-p1)/ni+P2(1-p2)/n2) O b. Z = ~ N(0,1) (P(1-p)(1/n1+1/nz) O c. x? = 5H (E-Ok)? ~xỉ, where E, is the expected number of observations, and Op is the actual number of observations, in the cells of the contingency table corresponding to this problem.
Transcribed Image Text:Random samples of 110 homes in Kingston, Ontario (n1) and 100 homes in Owen Sound, Ontario (n2) were selected. Each home was examined for the presence of asbestos, and it was found that 20 homes in Owen Sound and 35 homes in Kingston had some presence of asbestos. We would like to test whether the proportion of homes with asbestos in Kingston (p1) is greater than the proportion of homes in Owen Sound with asbestos (pa). What test statistic should we use? Here, we will denote by p the proportion of homes with asbestos in Kingston and Owen Sound combined. Select one: O a. Z = N(0, 1) (P1(1-p1)/ni+P2(1-p2)/n2) O b. Z = ~ N(0,1) (P(1-p)(1/n1+1/nz) O c. x? = 5H (E-Ok)? ~xỉ, where E, is the expected number of observations, and Op is the actual number of observations, in the cells of the contingency table corresponding to this problem.
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