Thursday, November 24, 2011

SRS: How does increasing the size of an SRS affect the sampling distribution of p^?

How does increasing the size of an SRS affect the sampling distribution of p^?|||I've just answered this in your previous question: "Statistics: Variability %26amp; SRS Samples of Population?"





If you look there, you'll find the formula for the s.d. of p_hat. So that increasind n by multiplying it by "m", reduces (devides) sd (or se) by sqrt(m).





For example, lets say the sd is 0.2 and the sample size is 100. If you increase the sample to 400 (multiply it by 4), the sd is devided by sqrt(4) = 2, i.e., sd = 0.1.

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