Find the minimum sample size required to estimate the population proportion p: In a certain population, body weights are normally distributed with a mean of 152 pounds and a standard deviation of 26 pounds. How many people must be surveyed if we want to estimate the percentage p who weigh more than 180 pounds? Assume that we want 97.5% confidence that the error is no more than 1.0 percentage points; no prior results on estimating p are available.
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