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A researcher wishes to estimate the proportion of elegible voters who will vote for a particular candidate in an upcoming election

a) How large should the sample size be so that 85% confidence itnerval for the population proportion has a margin of error of 0.05? Assume that a preliminary sample suggests that the proportion is 0.65.

b) Assuming that the results of a preliminary survey are not available. What is the most conservative estimate of the sample size that would limit the margin of error to within 0.05 of the population proportion for a 95% confidence interval?

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