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Summary of Distribution of p
x, number of individuals with specified characteristic
p-hat or p = --n, number of sample size
For a simple random sample of size n such that n ≤ 0.05N
(that is less than 5% of the population size)
• Shape of sampling distribution of p is approximately
normal,
provided np(1 – p) ≥ 10
• Mean of the sampling distribution of p is μp = p
• Standard Deviation of the sampling distribution of p is
σp =
p(1 – p)
-----------n
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