A political poll reports a candidate has a 67% unfavorable rating with a 4% margin of error. Find an interval estimate for the candidate

Question

asked Dec 7, 2021 157k views

1 Answer

Khal · Answer 1 · 2021-12-11T23:45:37+0000

Answer:

$\hat p-ME = 0.67-0.04= 0.63$

$\hat p+ME = 0.67+0.04= 0.71$

And we can conclude that the etimated unfavorable rating is between 63 and 71%

Explanation:

For this case we know that the estimated unfavorable rating is given by:

$\hat p=0.67$

And the margin of error for this estimate is given by:

ME= 0.04

If we want to find the confidence interval we just need to do the following:

$\hat p-ME = 0.67-0.04= 0.63$

$\hat p+ME = 0.67+0.04= 0.71$

And we can conclude that the etimated unfavorable rating is between 63 and 71%