Provide an appropriate response.
-A confidence interval for $p$ can be constructed using
A) $\hat { \mathrm { p } } \pm \mathrm { z } _ { \alpha / 2 } \sqrt { \frac { \hat { \mathrm { p } ( 1 - \hat { \mathrm { p } ) } } } { }$
B) $\mathrm { p } \pm \mathrm { z } \frac { \sigma } { \mathrm { n } }$
C) $\hat { p } \pm z \sqrt { \frac { \sigma } { n } }$
D) $\mathrm { p } \pm \mathrm { z } _ { \alpha / 2 } \sqrt { \frac { \mathrm { p } ( 1 - \mathrm { p } ) } { \mathrm { n } } }$

Question

Quizplus · Accepted Answer

The correct formula for constructing a confidence interval for a proportion $p$ uses the sample proportion $\hat{p}$, the critical value $z_{\alpha/2}$, and the standard error of the sample proportion, which is $\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$, where $n$ is the sample size. This matches choice A, which correctly represents the formula for a confidence interval for a proportion.

Provide an Appropriate Response ppp Can Be Constructed Using A) \(\Hat { \Mathrm { P } } \Pm \Mathrm

Provide an Appropriate Response $p$ Can Be Constructed Using
A) \(\Hat { \Mathrm { P } } \Pm \Mathrm