### Confidence interval for the true percentage of all household

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1) In a recent survey of 150 households, 54 had central air conditioning. Find a 96% confidence interval for the true percentage of all households that have central air conditioning.  Write a sentence that interprets this interval.

2) A researcher wishes to estimate, with 95% confidence, the proportion of people who own a home computer. A previous study shows that 40% of those interviewed had a computer at home. Find the minimum sample size necessary if the researcher wants to be accurate within 2% of the true proportion.

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