What you provide
What you provide
- Critical z value, using the same scenario as the other inputs
- Expected proportion, using the same scenario as the other inputs
- Maximum margin of error, using the same scenario as the other inputs
MATH / SAMPLING
Proportion Sample Size Calculator
Estimate the minimum simple-random sample size for a proportion at a selected z critical value. Review the symbolic equation, substituted values, interpretation boundary, and result in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Estimate the minimum simple-random sample size for a proportion at a selected z critical value. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
n = ceil[z^2 p(1-p)/E^2]
What you receive
What you receive
- Minimum sample size in people from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
Interpret the result only when the sampling design, independence, distribution, and measurement assumptions fit the data.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors