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). Based on this interval, what
conclusion should the candidate make about the proportion of likely voters who would vote for her in the upcoming
election?
0 There is a 95% chance that the proportion who would vote for her has increased.
The candidate cannot conclude that the proportion of likely voters who would vote for her has increased
It can be stated with 95% confidence that there was no change in the proportion who would vote for her
It can be stated with 95% confidence that there is convincing evidence that the proportion who would vote for her
has increased

Question

31-03-2022
Mathematics

contestada

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). Based on this interval, what
conclusion should the candidate make about the proportion of likely voters who would vote for her in the upcoming
election?
0 There is a 95% chance that the proportion who would vote for her has increased.
The candidate cannot conclude that the proportion of likely voters who would vote for her has increased
It can be stated with 95% confidence that there was no change in the proportion who would vote for her
It can be stated with 95% confidence that there is convincing evidence that the proportion who would vote for her
has increased

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joaobezerra joaobezerra · Answer 1 · 2022-04-05T11:55:48+02:00

The correct option regarding the interpretation of the confidence interval is given by:

The candidate cannot conclude that the proportion of likely voters who would vote for her has increased.

What is the interpretation of a x% confidence interval?

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

In this problem, the 95% confidence interval for the "increase" in the proportion of likely voters is (-0.014, 0.064). Since there is a negative value in the interval, the correct option is:

The candidate cannot conclude that the proportion of likely voters who would vote for her has increased.

More can be learned about confidence intervals at https://brainly.com/question/25890103