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Two-Proportion Z-Test — Comparing Two Proportions

Hypothesis TestingParametric Tests🟢 Free Lesson

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Two-Proportion Z-Test

Hypothesis Testing

Comparing Rates Across Groups

The two-proportion z-test evaluates whether two groups have different success rates, forming the statistical backbone of A/B testing. It provides a rigorous framework for comparing binary outcomes.

  • Digital Marketing — Testing whether landing page designs produce different conversion rates
  • Medicine — Comparing treatment success rates in randomized clinical trials
  • Social Policy — Evaluating whether interventions reduce rates in different populations

The two-proportion test turns business questions into statistical evidence.


Tests whether two population proportions are equal: H₀: π₁ = π₂.

where is the pooled proportion.


Application: A/B Testing


Relative Risk and Odds Ratio


Key Takeaways

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