For several decades, it was a common practice in Southern California for houses to be built with pools in the backyard (as any airplane flight which ends at a Southern California airport will reveal). Now, however, that practice may be changing, possibly because of the recent demand for landscaped homes, which experts believe help reduce pollution. A recent study examined a random sample of  167  houses built in Southern California between 1950 and 1985 and an independent, random sample of  80  houses built in Southern California from 1992 to the present. The sample of houses built in 1950-1985 contained  71  houses with pools, and the sample of houses built from 1992-present contained  31  houses with pools. Based on this survey, can we conclude, at the  0.05  level of significance, that the proportion  p1  of all Southern California houses built in 1950-1985 that were built with pools is greater than the proportion  p2  of all Southern California houses built from 1992-present that were built with pools? Perform a one-tailed test.   The null hypothesis: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one)ZtChi squareF             The value of the test statistic:(Round to at least three decimal places.)   The critical value at the  0.05  level of significance:(Round to at least three decimal places.)   Can we conclude that the proportion of Southern California houses built with pools from 1950-1985 is greater than the proportion from 1985-present?   Yes     No

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For several decades, it was a common practice in Southern California for houses to be built with pools in the backyard (as any airplane flight which ends at a Southern California airport will reveal). Now, however, that practice may be changing, possibly because of the recent demand for landscaped homes, which experts believe help reduce pollution. A recent study examined a random sample of 

167

 houses built in Southern California between 1950 and 1985 and an independent, random sample of 

80

 houses built in Southern California from 1992 to the present. The sample of houses built in 1950-1985 contained 

71

 houses with pools, and the sample of houses built from 1992-present contained 

31

 houses with pools. Based on this survey, can we conclude, at the 

0.05

 level of significance, that the proportion 

p1

 of all Southern California houses built in 1950-1985 that were built with pools is greater than the proportion 

p2

 of all Southern California houses built from 1992-present that were built with pools?

Perform a one-tailed test.

 
The null hypothesis:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic: (Choose one)ZtChi squareF      
     
The value of the test statistic:
(Round to at least three decimal places.)
 
The critical value at the 
0.05
 level of significance:
(Round to at least three decimal places.)
 
Can we conclude that the proportion of Southern California houses built with pools from 1950-1985 is greater than the proportion from 1985-present?
 
Yes
 
 
No
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