Final answer:
The margin of error for the given confidence interval of a population proportion (0.655 to 0.690) is calculated to be 0.0175.
Step-by-step explanation:
The confidence interval for a population proportion is given as 0.655 to 0.690. To find the margin of error, we calculate the difference between the upper limit of the confidence interval and the point estimate or the point estimate and the lower limit of the confidence interval. Since a confidence interval is symmetrical around the point estimate, it doesn't matter which side we use for this calculation.
The formula to find the margin of error is:
Margin of Error (E) = Upper Limit - (Lower Limit + Upper Limit) / 2
OR
E = (Lower Limit + Upper Limit) / 2 - Lower Limit
Using the confidence interval given (0.655, 0.690), the margin of error is:
E = (0.690 + 0.655) / 2 - 0.655
E = 0.6725 - 0.655
E = 0.0175
Therefore, the margin of error for the given confidence interval is 0.0175.