Suppose x = 1 with probability p, and x = 0 with probability (1 - p). Then,

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Suppose x = 1 with probability p, and x = 0 with probability (1 - p). Then, x is the special case of a binomial random variable with n = 1, so that o = Vnp(1 – p) = vp(1 – p)

With n trials, using the formula s>1n for a standard deviation of a sample mean, explain why the standard deviation of a sample proportion equals

Vp(1 – p)/n.

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Statistics The Art And Science Of Learning From Data

ISBN: 9780321997838

4th Edition

Authors: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

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