Consider a sampling distribution with p equals 0.12 and samples of size n each. Using the appropriate​ formulas, find the mean and the standard deviation of the sampling distribution of the sample proportion.a. For a random sample of size n = 5000.

The mean is _____. The standard deviation is _____. (Round to 4 decimal places as needed.)

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

The mean is _____. The standard deviation is _____. (Round to 4 decimal places as needed.)

c. For a random sample of size n = 250.

The mean is _____. The standard deviation is _____. (Round to 4 decimal places as needed.)

d. Summarize the effect of the sample size on the size of the standard deviation.

A. As the sample size gets smaller, the standard deviation gets smaller.

B. Standard deviation does not depend on the size of the sample.

C. As the sample size gets larger, the standard deviation gets