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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Description: 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, poss

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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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

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

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

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

0.05

level of significance, that the proportion

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

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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