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MATH / STATISTICAL INFERENCE

Proportion Margin of Error Calculator

Calculate normal-approximation margin of error for a sample proportion. Review 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

Conversion input

Known value

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

Preparing the calculator...

Use boundary

Calculation path

Calculate normal-approximation margin of error for a sample 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

ME=z_star sqrt[p(1-p)/n]

What you provide

What you provide

  • Sample proportion, 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

What you receive

What you receive

  • Margin of error 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.

Use one consistent dataset or scale and verify statistical or geometric assumptions before interpretation.

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

Reviewed reference factors

Reviewed reference factors