Question

Statistics help???

31% of people 25 years or older have at least a high school diploma. Out of a simple random sample of 100 people aged 25 years or older what is probability that at least half your sample has a high school diploma? If you took a simple random sample of 6 people aged 25 years or older, what is the probability that at least half your sample has a high school diploma?

Answer 1

This problem involves a "proportion," in that we are told that "31% of people 25 or older have at least a high school diploma. Thus, p = 0.31.

I note that this problem presents two different situations: In the first, n=100; in the second, n=6.

There is a formula for calculating the sample standard deviation for this type of problem. It involves the variables n (sample size) and p (population or sample proportion). What is that formula? Please calculate the sample standard deviation for each of these 2 cases.