Question

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

Answer 1

`\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%