Step 1 :Given the confidence interval for a population proportion, \(p\), is \((0.56,0.76)\).
Step 2 :The point estimate, \(\widehat{p}\), is the midpoint of the confidence interval. It can be calculated as the average of the lower and upper limits of the confidence interval.
Step 3 :Calculate the point estimate, \(\widehat{p}\), as \((0.56 + 0.76) / 2 = 0.66\).
Step 4 :The margin of error, \(E\), is the difference between the point estimate and either the lower or upper limit of the confidence interval.
Step 5 :Calculate the margin of error, \(E\), as \(0.66 - 0.56 = 0.10\).
Step 6 :Final Answer: The point estimate, \(\widehat{p}\), is \(\boxed{0.66}\) and the margin of error, \(E\), is approximately \(\boxed{0.10}\).