# Sample of an argumentative essay outline

In terms of the numbers you selected above, the sample size n and margin of error E are given by x = Z ( c / 100 ) 2 r (100- r ) n = N x / (( N -1) E 2 + x ) E = Sqrt[ ( N - n ) x / n ( N -1) ] where N is the population size, r is the fraction of responses that you are interested in, and Z ( c /100) is the critical value for the confidence level c .

If you'd like to see how we perform the calculation, view the page source. This calculation is based on the Normal distribution , and assumes you have more than about 30 samples.

About Response distribution : If you ask a random sample of 10 people if they like donuts, and 9 of them say, "Yes", then the prediction that you make about the general population is different than it would be if 5 had said, "Yes", and 5 had said, "No". Setting the response distribution to 50% is the most conservative assumption. So just leave it at 50% unless you know what you're doing. The sample size calculator computes the critical value for the normal distribution. Wikipedia has good articles on statistics. How do you like this web page? Good as-is Could be even better

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