Which one of the following is true regarding the standard deviation of the sampling distribution of the sample?

A social scientist wishes to conduct a survey. She plans to ask a yes/no question to a random sample from the U.S. adult population. One proposal is to select 100 people; another proposal is to select 900 people.





Which one of the following is true regarding the standard deviation of the sampling distribution of the sample proportion, p-hat, of ';yes'; responses?





(a) The standard deviation of the sampling distribution will be 9 times smaller with sample size 100.


(b) The standard deviation of the sampling distribution will be 9 times larger with sample size 100.


(c) The standard deviation of the sampling distribution will be 3 times smaller with sample size 100.


(d) The standard deviation of the sampling distribution will be 3 times larger with sample size 100.


(e) The standard deviation of the sampling distribution will be the same for both sample sizes.Which one of the following is true regarding the standard deviation of the sampling distribution of the sample?
I'm pretty sure its e, however, I couldn't really explain why except for that the factors are constant... Eh. We used to do this in stats all the time.Which one of the following is true regarding the standard deviation of the sampling distribution of the sample?
A i think.