Suppose a 95% confidence interval for a population proportion is (0.27, 0.49). rewrite this interval in the form of ± margin of error.

Margin of error is equal to the radius of confidence interval or half of the width of confidence interval.

Margin of error = where (a,b) is the confidence interval.

Given confidence of interval is (0.27,0.49).

Margin of error =

To write the given interval in terms of margin error, we have to find mid point of confidence interval =

Now confidence interval=(mid point-margin of error, mid point+margin of error)

                                         = (0.38-0.11, 0.38+0.11)

Hence confidence interval is 0.38±0.11

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