Refer to Exercises 1 and 2, and note that for both exercises the value of n in part (b) is four times what it is in part (a), while p is the same. Use the answers to Exercise 1 or 2 to describe how changing the sample size affects the mean and standard deviation of the distribution of possible sample proportions.
Exercises 1
Calculate the mean and the standard deviation of the sampling distribution of possible sample proportions for each combination of sample size (n) and population proportion (p).
a. n = 400, p = .5.
b. n = 1600, p = .5.
Exercises 2
Calculate the mean and the standard deviation of the sampling distribution of possible sample proportions for each combination of sample size (n) and population proportion (p).
a. n = 64, p = .8.
b. n = 256, p = .8.