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If a pollster wants at least a 95% chance of the sample proportion being within 3% of the population proportion, find the maximum sample size

If a pollster wants at least a 95% chance of the sample proportion being within 3% of the population proportion, find the maximum sample size needed. (Hint: first, find the value of p that maximizes the standard error, σp=p(1-p)nwHT6AwhMANlGoAAAAASUVORK5CYII=

p(1-p)

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