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You want to get a sample size large enough to get the margin of error to be at most 5 percent. That is an acceptable range in social sciences. However

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51 – 4 = 47 percent and. 51 + 4 = 55 percent. The margin of error can be calculated in two ways, depending on whether you have parameters from a population or statistics from a sample: Margin of error (parameter) = Critical value x Standard deviation for the population.