Standard Error of Proportion Calculator

Calculate Standard Error of Proportion



Formula

The formula to calculate the Standard Error of Proportion (SE_p) is:

\[ SE_p = \sqrt{\frac{p \times (1 - p)}{n}} \]

Where:

What is the Standard Error of Proportion?

The standard error of the proportion measures the dispersion or variability of the proportion estimates from a sample to the true population proportion. It is used to quantify the uncertainty associated with the sample proportion and is a key component in constructing confidence intervals for population proportions.

Example Calculation

Let's assume the following values:

Using the formula to calculate the Standard Error of Proportion (SE_p):

\[ SE_p = \sqrt{\frac{p \times (1 - p)}{n}} = \sqrt{\frac{0.5 \times (1 - 0.5)}{100}} = 0.05 \]

The Standard Error of Proportion (SE_p) is 0.05.