Question

NEED HELP PLEASE I BEG!!!!!!
The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations.

What is the survey’s margin of error?

Enter your answer in the box. ± ___ %
The answer goes on the underscores

Answer 1

The confidence interval estimator of the population proportion is given by

$C.I.=\hat{p}\pm M.E.$

where: $\hat{p}$ is the sample proportion, which is midway between the two intervals and M.E. is the margin of error which is the difference between each of the intervals and the sample proportion.

i.e. 
$\hat{p}= \frac{76+84}{2} \% \\ \\ = \frac{160}{2} \%=80\%$

Therefore, the margin of error is 4%.