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 ve use? Here, we will denote by p the proportion of homes with asbestos in Kingston and Owen Sound combined. Select one: a. Z= O b. Z = P₁-P₂ √(1-p)(1/n₁+1/m₂) N(0, 1) P1-P₂ √P₁(1-P₁)/₁+P₂(1-P₂)/n₂) ~ N(0, 1) O c. x² = [1=1 (Ek-Ok)² Ek Ok is the actual number of observations, in the cells of the contingency table corresponding to this problem. x, where Ek is the expected number of observations, and

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B) What is the observed value of the test statistic for the appropriate hypothesis test? Give answer to 3 decimal places. C) 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 (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:
a. Z =
O b. Z
=
P1-P₂
√p(1-p)(1/n₁+1/m₂)
P1-P₂
N(0, 1)
√(P₁(1-P₁)/n₁ +Â₂(1-P₂)/n₂)
(Ek-Ok)²
Ek
~
N(0, 1)
c. X² = ₁=1
Ok is the actual number of observations, in the cells of the contingency table
corresponding to this problem.
X, where Ek is the expected number of observations, and
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: a. Z = O b. Z = P1-P₂ √p(1-p)(1/n₁+1/m₂) P1-P₂ N(0, 1) √(P₁(1-P₁)/n₁ +Â₂(1-P₂)/n₂) (Ek-Ok)² Ek ~ N(0, 1) c. X² = ₁=1 Ok is the actual number of observations, in the cells of the contingency table corresponding to this problem. X, where Ek is the expected number of observations, and
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