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Proportion sample size

Estimate sample size for a proportion using z²p(1−p)/e², with optional finite population correction.

Free

Enter p, the absolute margin e and a positive z value. The tool starts with n = z²p(1−p)/e², optionally applies the supplied finite population correction, and rounds the adjusted size upward.

◈ Local processingFree

How to use

  1. Enter your text, values, or image.
  2. Adjust the options and run the tool.
  3. Copy or download your result.

Worked example

Example input

Expected proportion (0–1): 0.5
Absolute margin (0–1): 0.05
Critical z: 1.96
Population (0 = unlimited): 0

Example result

{
  "sampleSize": 385,
  "uncorrected": 384.16
}

Limitations and details

Uses a normal-approximation planning formula; it does not account for clustering, nonresponse, weighting or a sampling design effect.

Inputs and options

Expected proportion (0–1)
Number · Minimum: 0 · Maximum: 1
Absolute margin (0–1)
Number · Minimum: 0 · Maximum: 1
Critical z
Number · Minimum: 0
Population (0 = unlimited)
Number · Minimum: 0

Frequently asked questions

Is this tool free and private?

Yes. All 300 tools are free in this phase. Processing happens in your browser; your input and files are not sent to our servers.

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