*40. Real estate survey. A real estate agent looks over the 15 listings she has in a...

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*40. Real estate survey. A real estate agent looks over the 15 listings she has in a particular zip code in California and finds that 80% of them have swimming pools.

a) Check the assumptions and conditions for inference on proportions.

b) If it’s appropriate, find a 90% confidence interval for the proportion of houses in this zip code that have swimming pools. If it’s not appropriate, explain and/or recommend an alternative action.

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