Describe the sampling distribution of based on large

Chapter 6, Problem 40E

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QUESTION:

Describe the sampling distribution of \(\hat{p}\) based on large samples of size n-that is, give the mean, the standard deviation, and the (approximate) shape of the distribution of \(\hat{p}\) when large samples of size n are (repeatedly) selected from the binomial distribution with probability of success p.

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QUESTION:

Describe the sampling distribution of \(\hat{p}\) based on large samples of size n-that is, give the mean, the standard deviation, and the (approximate) shape of the distribution of \(\hat{p}\) when large samples of size n are (repeatedly) selected from the binomial distribution with probability of success p.

ANSWER:

Step 1 of 2

It is given that is the mean of the Binomial distribution for a large value of n.

We have to identify the sampling distribution of   and also the shape of the distribution of  .

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