Question: Producers of liners for an in-ground pool want to have a supply of liners sufficient to meet marketing needs. They wish to survey wholesalers who buy liners in order to estimate the proportion who plan to increase their purchases next year. What sample size is required if they want their estimate to be within 0.03 of the actual proportion with probability equal to 0.90 i.e., the z-value corresponding to an area equal to 0.05 in the upper tail of the z distribution?

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