5. A newspaper poll found that 52 percent of the respondents in a large random sample of likely voters in a
district intend to vote for candidate Smith rather than the opponent. A 95 percent confidence interval for the
population proportion was computed to be 0.52 +0.04. Based on the confidence interval, which of the
following should the newspaper report to its readers?
(A) Smith will win because a majority of voters are in favor of Smith,
(B) There is a 95% chance that Smith will win.
(C) The poll predicts that Smith will win, but there is a 5% chance that the prediction is incorrect due to
sampling error
(D) With 95% confidence, there is convincing evidence that Smith will win.
(E) No prediction about who will win can be made with 95% confidence, based on the sample taken.