Difference between formula of sample and population standard deviation
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In the formula for a population standard deviation, you divide by the population size N , whereas in the formula for the sample standard deviation, you divide by n−1.
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X = Zα/22 *p*(1-p) / MOE2, and Zα/2
the critical value of the Normal distribution at α/2 (e.g. for a confidence level of 95%, α is 0.05 and the critical value is 1.96), MOE is the margin of error, p is the sample proportion, and N is the population size.
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