State the mean and standard deviation of the sample proportion ˆp (sampling distribution).
Solution
mean of the sample proportion ˆp (sampling distribution). = p =
standard deviation of the sample proportion ˆp (sampling distribution). = [p ( 1 - p ) / n] = [(0.) / ] =
example
p = 0.1
1 - p = 1-0.1=0.9
n = 2
mean of the sample proportion ˆp (sampling distribution).
= p =0.1
standard deviation of the sample proportion ˆp (sampling distribution).
= [p ( 1 - p ) / n] = [(0.1*0.9) /2 ] = 0.212
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