a) We would next like to construct a 95% confidence interval for the difference ?1−?2p1−p2. What is the lower endpoint of this confidence interval? Give answer to 3 decimal places. b) What is the upper endpoint of this confidence interval? Give answer to 3 decimal places.

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Author:Amos Gilat
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a) We would next like to construct a 95% confidence interval for the difference ?1−?2p1−p2. What is the lower endpoint of this confidence interval? Give answer to 3 decimal places.

b) What is the upper endpoint of this confidence interval? 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.
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.
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