## 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.