The given confidence interval is 70.4% < p < 80.2%.
Express the percentages as decimals
[tex]0.704
Find the midpoint of the interval, which is the mean between the limits.
[tex]p=\frac{0.704+0.802}{2}=\frac{1.506}{2}=0.753[/tex]
Then, subtract the end of the interval with the mean value.
[tex]E=0.802-0.753=0.049[/tex]
The error is 0.049, or 4.9%.
Once you have the error E, we can express the interval.
[tex]\begin{gathered} p\pm ME\to75.3\pm4.9 \\ \end{gathered}[/tex]
Therefore, the interval is
[tex]75.3\pm4.9_{}[/tex]
