) 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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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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 (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:
Σi=1
x², 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)
a. X²:
b. Z
C.
-
=
Z =
(Ek-Ok)²
Ek
P1-P₂
√P₁(1-P₁)/n₁+P₂(1-P₂)/n₂)
P1-P₂
√p(1-p)(1/n₁+1/m₂)
N(0, 1)
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 (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: Σi=1 x², 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) a. X²: b. Z C. - = Z = (Ek-Ok)² Ek P1-P₂ √P₁(1-P₁)/n₁+P₂(1-P₂)/n₂) P1-P₂ √p(1-p)(1/n₁+1/m₂) N(0, 1)
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