SOLUTION: Describe the sampling distribution of P HAT with caret based on large samples of size n -- that is, given the mean, the standard deviation, and the (approximate) shape
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Question 1136414: Describe the sampling distribution of P HAT with caret based on large samples of size n -- that is, given the mean, the standard deviation, and the (approximate) shape of the distribution of P HAT with caret when large samples of size n are (repeatedly) selected from the binomial distribution with a probability of success p. Let q=1-p.
The mean of the sampling distribution of p HAT is? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! The mean is np, and with large samples (especially for very small p or q), it is a normal distribution.
The variance is np(1-p) or npq
the std dev is sqrt (np(1-p)) or sqrt (npq)