StatisticsHypothesis Testing

Two-Proportion Z-Test

Compare two population proportions p₁ and p₂ using the two-proportion z-test with pooled proportion. Enter successes and sample sizes for each group.

Live Calculator · Pooled Proportion · Statistics

Inputs

Group 1

Successes (x₁)

Sample Size (n₁)

Group 2

Successes (x₂)

Sample Size (n₂)

Significance Level (α)

Tail

Results

p̂₁ (Group 1)

—

p̂₂ (Group 2)

—

Pooled p̂

—

Z-Statistic

—

P-Value

—

Critical Value z*

—

Decision

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Step-by-Step

Two-Proportion Z-Test Visualization

Put It Into Practice

The calculator shows the steps — a quiz proves you can do them on your own.

One-on-one Statistics tutoring makes two-proportion tests and pooling intuitive.