A confidence interval for $\mathrm { p }$ can be constructed using
A) $\hat { p } \pm z _ { \alpha / 2 } \sqrt { \frac { \hat { p } ( 1 - \hat { p } ) } { n } }$
B) $\mathrm { p } \pm \mathrm { z } \frac { \sigma } { \mathrm { n } }$
C) $\hat { \mathrm { p } } \pm \mathrm { z } \sqrt { \frac { \sigma } { \mathrm { n } } }$
D) $\mathrm { p } \pm \mathrm { z } _ { \alpha / 2 } \sqrt { \frac { \mathrm { p } ( 1 - \mathrm { p } ) } { \mathrm { n } } }$ 3 Find the sample size needed for estimating a population proportion within a given margin of error.

Question

Quizplus · Accepted Answer

Option A is the correct formula for constructing a confidence interval for a population proportion $p$, using the sample proportion $\hat{p}$, where $z_{\alpha/2}$ is the critical value from the standard normal distribution for the desired confidence level, and $n$ is the sample size.

A Confidence Interval For p\mathrm { p }p Can Be Constructed Using A)

A Confidence Interval For $\mathrm { p }$ Can Be Constructed Using
A)