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January 28, 2015

January 28, 2015

Posted by **Anonymous** on Monday, October 13, 2008 at 10:20pm.

be large enough that your 95% confidence interval will extend about 0.03 above your

estimate (whatever it turns out to be) and about 0.03 below your estimate (if you read the newspaper, political polls are always reported with “a 3% margin of error”, and that is what I am defining). By definition, a 95% confidence interval roughly needs to extend 2 times the standard deviation from the estimated mean (in this case, the mean is the fraction that prefer apples; it turns out this will be very close to normally distributed even though the numbers are fractions and can have only discrete values). Using that rule, how many samples do you need for your 95% confidence interval to extend 0.03 above and 0.03 below the mean?

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