# Question

Consider the sampling distribution you were simulating in parts a and b of the previous exercise, assuming p = 0.10 with samples of size 4000 each. Using the appropriate formulas from this section, find the mean and the standard deviation of the sampling distribution of the sample proportion:

a. For a random sample of size n = 4000, as in that exercise.

b. For a random sample of size n = 1000.

c. For a random sample of size n = 250. Summarize the effect of the sample size on the size of the standard deviation of the sampling distribution of the sample proportion.

a. For a random sample of size n = 4000, as in that exercise.

b. For a random sample of size n = 1000.

c. For a random sample of size n = 250. Summarize the effect of the sample size on the size of the standard deviation of the sampling distribution of the sample proportion.

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