A political candidate feels that she performed particularly well in the most recent debate against her opponent. Her campaign manager polled a random sample of 400 likely voters before the debate and a random sample of 500
likely voters after the debate. The 95% confidence interval for the true difference (post-debate minus pre-debate) in
proportions of likely voters who would vote for this candidate was (-0.014, 0.064). What is the correct interpretation
of the 95 percent confidence interval?
O Only 95% of the voters who were polled responded to the question.
O The candidate can be 95% confident that the percentage of likely voters who would vote for her increased, since
much of the confidence interval is above 0.
O The candidate can be 95% confident that the percentage of likely voters who would vote for her did not increase,
since the confidence interval contains O.
O We are 95% confident that the interval from -0.014 to 0.064 captures the true change in the proportion of likely
voters who would vote for this candidate.