Question

question 2
a political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate. one plan is to select 400 voters, another plan is select 1,600 voters.
which of the following is true regarding the sample proportion $hat{p}$ of \yes\ responses?
a. the sample proportion from the sample of 400 is more likely to be close to the true population proportion, p.
b. the sample proportion from sample of 1,600 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.

Explanation:

Larger sample sizes generally lead to sample - statistics (such as sample proportions) that are closer to the true population parameters. In this case, a sample of 1,600 voters is larger than a sample of 400 voters. So, the sample proportion from the sample of 1,600 is more likely to be close to the true population proportion.

Answer:

B. The sample proportion from sample of 1,600 is more likely to be close to the true population proportion, p.