Express the confidence interval $(0.015,0.089)$ in the form of $\hat{p}-E< p< \hat{p}+E$.
\(\boxed{0.015 < p < 0.089}\) is the final answer.
Step 1 :The confidence interval is given as (0.015, 0.089).
Step 2 :This can be expressed in the form \(\hat{p}-E
Step 3 :The point estimate \(\hat{p}\) is the midpoint of the interval and the margin of error E is the distance from the point estimate to either end of the interval.
Step 4 :Calculate the point estimate \(\hat{p}\) as the midpoint of the interval: \(\hat{p} = \frac{0.015 + 0.089}{2} = 0.052\).
Step 5 :Calculate the margin of error E as the distance from the point estimate to either end of the interval: \(E = \hat{p} - 0.015 = 0.037\).
Step 6 :Substitute \(\hat{p}\) and E into the inequality: \(0.052 - 0.037 < p < 0.052 + 0.037\).
Step 7 :\(\boxed{0.015 < p < 0.089}\) is the final answer.