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MATH / TWO-SAMPLE STATISTICS

Two Proportion Z Statistic Calculator

Compare two independent sample proportions under a pooled null model. Inspect the equation, substituted values, result, and interpretation limits in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Compare two independent sample proportions under a pooled null model. 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=(p1-p2)/sqrt[p_c(1-p_c)(1/n1+1/n2)]

What you provide

What you provide

  • First success count, using the same scenario as the other inputs
  • First sample size, using the same scenario as the other inputs
  • Second success count, using the same scenario as the other inputs
  • Second sample size, using the same scenario as the other inputs

What you receive

What you receive

  • Two-proportion 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.

Interpret the result only when sampling, independence, measurement, and distribution assumptions fit the data.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors