Problem

Express the confidence interval $0.222< p< 0.888$ in the form $\hat{p} \pm E$.
\[
\hat{p} \pm E=\square \pm
\]

Answer

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Answer

So, the confidence interval $0.222<p<0.888$ in the form $\hat{p} \pm E$ is $\boxed{0.555 \pm 0.333}$.

Steps

Step 1 :The confidence interval is given by the range $0.222

Step 2 :To find $\hat{p}$, we can calculate the average of the lower and upper bounds of the interval. $\hat{p} = \frac{0.222 + 0.888}{2} = 0.555$

Step 3 :To find $E$, we can subtract the lower bound from $\hat{p}$. $E = 0.555 - 0.222 = 0.333$

Step 4 :So, the confidence interval $0.222

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