# Hypothesis testing for the difference of population proportions

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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 that ends at a Southern California airport will reveal). 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 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 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?

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This solution provides an explanation for hypothesis testing

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No we can't do a hypothesis test here. This is the key sentence which explains why:

The sample of houses built in 1950-1985 ...

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