The mean of the distribution of sample proportions is 0.37.
The standard deviation of the distribution of sample proportions is 0.02
a. What is the mean of the distribution of sample proportions?
The mean of the distribution of sample proportions is equal to the population proportion, which is p = 0.37.
So, the mean of the distribution of sample proportions is 0.37.
b. What is the standard deviation of the distribution of sample proportions?
The standard deviation of the distribution of sample proportions is equal to:
√(pq/n)
Where:
p is the population proportion (0.37)
q is 1 - p (0.63)
n is the sample size (664)
So, we have
SD = √((0.37)(0.63) / 664)
SD = 0.02
Hence, the mean of the distribution of sample proportions is 0.37.