## 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.