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 (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: O a. Z = N (0,1) V(P,(1-P,)/n,+p2(1-p2)/ng) O b. x? = Ei=1 (E,-Ok)² E xỉ, where Er is the expected number of observations, and O is the actual number of observations, in the cells of the contingency table corresponding to this problem. O c. Z = N (0, 1) V(p(1-p)(1/nı+1/ng) What is the observed value of the test statistic for the appropriate hypothesis test? Give answer to 3 decimal places. What is the p-value associated to the observed test statistic you have just computed? Give answer to 3 decimal places.

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 (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: O a. Z = N (0,1) V(P,(1-P,)/n,+p2(1-p2)/ng) O b. x? = Ei=1 (E,-Ok)² E xỉ, where Er is the expected number of observations, and O is the actual number of observations, in the cells of the contingency table corresponding to this problem. O c. Z = N (0, 1) V(p(1-p)(1/nı+1/ng) What is the observed value of the test statistic for the appropriate hypothesis test? Give answer to 3 decimal places. What is the p-value associated to the observed test statistic you have just computed? Give answer to 3 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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