Express the confidence interval (0.432,0.52) in the form of $\hat { p } \pm \mathrm { E }$
A) $0.476 \pm 0.044$
B) $0.476 \pm 0.088$
C) $0.432 \pm 0.044$
D) $0.432 \pm 0.088$

Question

Express the confidence interval  (0.432,0.52)  in the form of $\hat { p } \pm \mathrm { E }$
A) $0.476 \pm 0.044$
B) $0.476 \pm 0.088$
C) $0.432 \pm 0.044$
D) $0.432 \pm 0.088$

Quizplus · Accepted Answer

The midpoint of the interval $(0.432, 0.52)$ is $\hat { p } = \frac{0.432 + 0.52}{2} = 0.476$, and the margin of error $E$ is half the width of the interval, so $E = \frac{0.52 - 0.432}{2} = 0.044$. Therefore, the confidence interval can be expressed as $0.476 \pm 0.044$.

Express the Confidence Interval (0 p^±E\hat { p } \pm \mathrm { E }p^​±E

Express the Confidence Interval (0 $\hat { p } \pm \mathrm { E }$