# Express the confidence interval 57.7 % \pm 4.9 % in

glamrockqueen7 2021-09-16 Answered

Express the confidence interval $57.7\mathrm{%}±4.9\mathrm{%}$ 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 100 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 $57.7\mathrm{%}±4.9\mathrm{%}$
$\left(57.7÷100\right)±\left(4.9÷100\right)$
$=0.577±0.049$.
Result
Confidence interval $=\left[0.626,0.528\right]$.

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