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What is the observed value of the test statistic for the appropriate hypothesis test? Give answer to 3 decimal places.

What is the observed value of the test statistic for the appropriate hypothesis test? Give answer to 3 decimal places.

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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What is the observed value of the test statistic for the appropriate hypothesis test? Give answer to 3 decimal places. Answer:
Transcribed Image Text:What is the observed value of the test statistic for the appropriate hypothesis test? Give answer to 3 decimal places. Answer:
Random samples of 110 homes in Kingston, Ontario (n₁) and 100 homes in Owen Sound, Ontario (₂) 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 (p₂). 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: 4 O a. X² = Σ =1 4 X, where Ek is the expected number of observations, and Ok is the actual number of observations, in the cells of the contingency table corresponding to this problem. ~ N(0, 1) O b. Z= O c. Z = (Ek-Ok)² Ek P₁-P₂ √(p(1-p)(1/n₁+1/m₂) ~ P1-P₂ √(pi(1-p₁/n+p2(1-p2)/m₂) ~ N(0, 1)
Transcribed Image Text:Random samples of 110 homes in Kingston, Ontario (n₁) and 100 homes in Owen Sound, Ontario (₂) 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 (p₂). 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: 4 O a. X² = Σ =1 4 X, where Ek is the expected number of observations, and Ok is the actual number of observations, in the cells of the contingency table corresponding to this problem. ~ N(0, 1) O b. Z= O c. Z = (Ek-Ok)² Ek P₁-P₂ √(p(1-p)(1/n₁+1/m₂) ~ P1-P₂ √(pi(1-p₁/n+p2(1-p2)/m₂) ~ N(0, 1)
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