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Old 10-08-2004, 03:28 PM
mmbt0ne mmbt0ne is offline
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Join Date: Aug 2004
Location: Atlanta, GA
Posts: 700
Default Re: Election-polling math

Lucky for you we just took a quiz on polling data in statistics about 5 hours ago. Basically, they take the half-interval margin of error (kind of a copout from what I can see) defined as:

z(alpha/2)*sqrt(pq/n)

where z is the t-distribution at an infinite degree of freedom, p is the probability of something happening, q is 1-p, and n is the sample size. For simplicity, they round z to 2, 95% confidence interval has z=1.96. Also, before the data you can assume that p=q=.5 since that will give you the highest possible margin of error. This simplifies a lot, and you end up getting:

MoE = 1/sqrt(n)

So, for a margin of error of 4%, you need >= 625 people. Of course, this all really depends on how they pick the participants. I hope that's right, because I put 625 down on the quiz.
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