Margin of error is equal to the radius of confidence interval or half of the width of confidence interval.
Margin of error = [tex]\frac{b-a}{2}[/tex] where (a,b) is the confidence interval.
Given confidence of interval is (0.27,0.49).
Margin of error = [tex]\frac{0.49-0.27}{2} = \frac{0.22}{2} = 0.11[/tex]
To write the given interval in terms of margin error, we have to find mid point of confidence interval = [tex]\frac{0.49+0.27}{2} = \frac{0.76}{2} = 038[/tex]
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
