Question

express the confidence interval ( 0.222 < p < 0.888 ) in the form ( hat{p}pm e ).
( hat{p}pm e=squarepmsquare )

Explanation:

Step1: Calculate the point estimate ($\hat{p}$)

The point estimate $\hat{p}$ is the midpoint of the confidence interval.
$$\hat{p}=\frac{0.222 + 0.888}{2}=\frac{1.11}{2}=0.555$$

Step2: Calculate the margin of error ($E$)

The margin of error $E$ is the distance from the point estimate to either end of the confidence interval.
$$E=\frac{0.888 - 0.222}{2}=\frac{0.666}{2}=0.333$$

Answer:

$0.555\pm0.333$