Express the confidence interval using the indicated format.
-Express the confidence interval $( 0.326,0.458 )$ in the form of $\hat { p } \pm \mathrm { E }$.
A) $0.392 \pm 0.066$
B) $0.326 \pm 0.132$
C) $0.392 \pm 0.132$
D) $0.326 \pm 0.066$

Question

Quizplus · Accepted Answer

The midpoint of the interval $(0.326, 0.458)$ is $\hat{p} = \frac{0.326 + 0.458}{2} = 0.392$. The margin of error $E$ is half the width of the interval: $E = \frac{0.458 - 0.326}{2} = 0.066$. Thus, the confidence interval in the form $\hat{p} \pm E$ is $0.392 \pm 0.066$.

Express the Confidence Interval Using the Indicated Format (0.326,0.458)( 0.326,0.458 )(0.326,0.458)

Express the Confidence Interval Using the Indicated Format $( 0.326,0.458 )$