Sample size to estimate proportion
Use this calculator to find the minimum sample size required to estimate proportion $p$.
| Sample size to estimate proportion | ||
|---|---|---|
| Confidence Level ($1-\alpha$) | ||
| Proportion of success ($p$) | ||
| Margin of Error ($E$) | ||
| Results | ||
| Z value: | ||
| Required Sample Size : ($n$) | ||
Sample size required to estimate proportion
The minimum sample size required to estimate the proportion is
$$ \begin{aligned} n &= p(1-p)\bigg(\frac{z}{E}\bigg)^2 \end{aligned} $$
where
- $p$ is the proportion of success
- $z=z_{\alpha/2}$ is the critical value of $Z$
- $E$ is the margin of error.
