Express the confidence interval 57.7 % \pm 4.9 % in

glamrockqueen7 2021-09-16 Answered

Express the confidence interval \(57.7 \% \pm 4.9 \%\) in interval form.
Express the answer in decimal format (donot eter as percents).

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Expert Answer

Khribechy
Answered 2021-09-17 Author has 13088 answers

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

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