What is the One-Proportion z Statistic Calculator?
Calculate a one-sample z statistic for an observed proportion versus a hypothesized proportion. ITS Research Solution keeps the interactive tool above the explanation so you can calculate first and then review the method used.
Formula or method
z = (p̂−p0) / √[p0(1−p0)/n].
How to use this tool
Enter the requested values using consistent units, run the calculation and review the main result plus any supporting values. Compare an observed proportion with a prespecified benchmark.
Interpretation and limitations
Normal approximation methods may be unsuitable with very small counts or extreme proportions. Always check source data, units, rounding and discipline-specific requirements before using a result in assessed, published, regulated or high-stakes work.
Frequently asked questions
How is this result calculated?
z = (pu0302u2212p0) / u221a[p0(1u2212p0)/n].
Can I use this result in formal academic or research work?
Use it as a transparent calculation aid, then verify the assumptions, units, rounding and any institution-, journal- or field-specific requirements before formal use.