Problem: The Pew Research Center survey asked a random sample of 1500 adults, "Do you think the use of marijuana should be made legal, or not?" In the entire sample, 41% said, "Yes, legal." But only 24% of the Republicans in the sample said, "Yes, legal." Which of these two sample percents will be more accurate as an estimate of the truth about the population?
(i) The result for Republicans is more accurate because it is easier to estimate a proportion for a smaller group.
(ii) The result for the entire sample is more accurate because it comes from a larger sample.
(iii) Both are equally accurate because both come from the same sample.