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
- Null proportion, using the same scenario as the other inputs
MATH / STATISTICAL INFERENCE
One Proportion Z Statistic Calculator
Calculate a one-sample z statistic for an observed proportion against a null 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 one-sample z statistic for an observed proportion against a null 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
z=(p_hat-p0)/sqrt[p0(1-p0)/n]
What you receive
What you receive
- Z statistic 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.
Observations are independent and the normal approximation is suitable for the null success and failure counts.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors