Step 1

Confidence intervals refers to the probability that a population parameter will fall between a set of values for a certain proportion of times. In the given data confidence intervals are given in percentage we need to convert into decimal values.

Calculation

Confidence interval \(57.7 \% \pm 4.9 \%\)

\(\displaystyle{\left({57.7}\div{100}\right)}\pm{\left({4.9}\div{100}\right)}\)

\(\displaystyle={0.577}\pm{0.049}\).

Result

Confidence interval \(\displaystyle={\left[{0.626},{0.528}\right]}\).