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express the confidence interval 0.555 < p < 0.777 in the form $hat{p}pm…

Question

express the confidence interval 0.555 < p < 0.777 in the form $hat{p}pm e$. $hat{p}pm e=squarepmsquare$

Explanation:

Step1: Calculate the sample proportion $\hat{p}$

$\hat{p}=\frac{0.555 + 0.777}{2}=\frac{1.332}{2}=0.666$

Step2: Calculate the margin of error $E$

$E=\frac{0.777 - 0.555}{2}=\frac{0.222}{2}=0.111$

Answer:

$0.666\pm0.111$