What you provide
What you provide
- Observed successes, using the same scenario as the other inputs
- Sample size, using the same scenario as the other inputs
- Critical z value, using the same scenario as the other inputs
MATH / STATISTICAL INFERENCE
One Proportion Confidence Interval Calculator
Calculate a Wald confidence interval for one population proportion. Inspect the equation, substituted values, result, assumptions, and interpretation in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Calculate a Wald confidence interval for one population proportion. 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
p_hat +/- z_star sqrt[p_hat(1-p_hat)/n]
What you receive
What you receive
- Lower confidence bound 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.
The sample is independent and large enough for a normal-approximation interval; use an exact method for sparse counts.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors