Wk 7 Question 2

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 of the following is true regarding the sample proportion p-hat, of "yes" responses?

A The sample proportion from the sample of 900 is more likely to be close to the true population proportion, p.

B The sample proportion from sample of 100 is more likely to be close to the true population proportion, p.

C The sample proportion in either proposal is equally likely to be close to the true population proportion, p, since the sampling is random.

D It is impossible to say one way or the other.