--- title: "Two-Proportion z-Test | AP Stats Definition" description: "A two-proportion z-test uses independent sample data to test a claim about the difference between two population proportions." canonical: "https://fiveable.me/ap-stats/key-terms/two-proportion-z-test" type: "key-term" subject: "AP Statistics" unit: "Unit CL5B675bCTuba5g2" --- # Two-Proportion z-Test | AP Stats Definition ## Definition A two-proportion z-test uses independent sample data to test a claim about the difference between two population proportions. ## What It Is A two-proportion [z-test](/ap-stats/key-terms/z-test "fv-autolink") uses independent sample data to test a [claim](/ap-stats/unit-3/justifying-claim-based-on-confidence-interval-for-population-proportion/study-guide/YeTpyj6nyq03j0AJO3Bm "fv-autolink") about the difference between two population proportions. In [AP Statistics](/ap-stats "fv-autolink"), this term belongs to 3.12 Setting Up a Test for the Difference Between Two Population Proportions and 3.13 Carrying Out a Test for the Difference Between Two Population Proportions. Use the notation and conditions attached to the procedure or model, then interpret the result in context. ## Why It Matters Two-Proportion z-Test supports [Unit 3](/ap-stats/unit-3 "fv-autolink"): Inference for Categorical Data: Proportions. The relevant CED learning objectives cover identify the [null and alternative hypotheses](/ap-stats/key-terms/null-and-alternative-hypotheses "fv-autolink") for the difference between population proportions; justify the appropriateness of a hypothesis test for the difference between two population proportions by verifying conditions. ## Connections ### 3.12 Setting Up a Test for the Difference Between Two Population Proportions Two-Proportion z-Test is used in this topic. Connect the definition to the topic's calculations and interpretations in context. ### 3.13 Carrying Out a Test for the Difference Between Two Population Proportions Two-Proportion z-Test is used in this topic. Connect the definition to the topic's calculations and interpretations in context. ## On the AP Exam An AP question can ask you to select, check, calculate, and interpret an inference procedure for proportions or categorical data. Name the concept precisely, show the relevant calculation when needed, and state the conclusion in the problem's context. ## Key Takeaways - A two-proportion z-test uses independent sample data to test a claim about the difference between two population proportions. - Two-Proportion z-Test is mapped to 3.12 Setting Up a Test for the Difference Between Two Population Proportions and 3.13 Carrying Out a Test for the Difference Between Two Population Proportions in the current AP Statistics course. - On an AP question, use Two-Proportion z-Test as part of a complete calculation or interpretation, not as an isolated label. ## FAQs ### What is Two-Proportion z-Test in AP Statistics? A two-proportion z-test uses independent [sample data](/ap-stats/key-terms/sample-data "fv-autolink") to test a claim about the difference between two population proportions. ### Which AP Stats unit covers Two-Proportion z-Test? Two-Proportion z-Test appears in Unit 3: Inference for Categorical Data: Proportions, especially 3.12 [Setting Up a Test for the Difference Between Two Population Proportions](/ap-stats/unit-3/setting-up-test-for-difference-two-population-proportions/study-guide/sJt2F9NwsQ2gihYEHGjP "fv-autolink") and 3.13 Carrying Out a Test for the Difference Between Two Population Proportions. ### How does Two-Proportion z-Test appear on the AP exam? An AP question can ask you to select, check, calculate, and interpret an inference procedure for proportions or [categorical data](/ap-stats/key-terms/categorical-data "fv-autolink"). Name the concept precisely, show the relevant calculation when needed, and state the conclusion in the problem's context. ### Is Two-Proportion z-Test only a vocabulary term? No. Be ready to use it in a calculation, identify it in a setup, or interpret what it means in context. ## Related Study Guides - [Legacy AP Statistics Skills Guide: Inference Procedure Selection](/ap-stats/unit-CL5B675bCTuba5g2/selecting-an-appropriate-inference-procedure/study-guide/TYrF9PsFWB1lTadg0ljQ) ## Structured Data ```json {"@context":"https://schema.org","@graph":[{"@type":"LearningResource","@id":"https://fiveable.me/ap-stats/key-terms/two-proportion-z-test#resource","name":"Two-Proportion z-Test | AP Stats Definition","url":"https://fiveable.me/ap-stats/key-terms/two-proportion-z-test","learningResourceType":"Concept explainer","educationalLevel":"AP® / High School","about":{"@id":"https://fiveable.me/ap-stats/key-terms/two-proportion-z-test#term"},"audience":{"@type":"EducationalAudience","educationalRole":"student"},"dateModified":"2026-08-04T00:38:30.674Z","isPartOf":{"@type":"Collection","name":"AP Statistics Key Terms","url":"https://fiveable.me/ap-stats/key-terms"},"publisher":{"@type":"Organization","name":"Fiveable","url":"https://fiveable.me"}},{"@type":"DefinedTerm","@id":"https://fiveable.me/ap-stats/key-terms/two-proportion-z-test#term","name":"Two Proportion Z Test","description":"A two-proportion z-test uses independent sample data to test a claim about the difference between two population proportions.","url":"https://fiveable.me/ap-stats/key-terms/two-proportion-z-test","inDefinedTermSet":{"@type":"DefinedTermSet","name":"AP Statistics Key Terms","url":"https://fiveable.me/ap-stats/key-terms"}},{"@type":"FAQPage","mainEntity":[{"@type":"Question","name":"What is Two-Proportion z-Test in AP Statistics?","acceptedAnswer":{"@type":"Answer","text":"A two-proportion z-test uses independent [sample data](/ap-stats/key-terms/sample-data \"fv-autolink\") to test a claim about the difference between two population proportions."}},{"@type":"Question","name":"Which AP Stats unit covers Two-Proportion z-Test?","acceptedAnswer":{"@type":"Answer","text":"Two-Proportion z-Test appears in Unit 3: Inference for Categorical Data: Proportions, especially 3.12 [Setting Up a Test for the Difference Between Two Population Proportions](/ap-stats/unit-3/setting-up-test-for-difference-two-population-proportions/study-guide/sJt2F9NwsQ2gihYEHGjP \"fv-autolink\") and 3.13 Carrying Out a Test for the Difference Between Two Population Proportions."}},{"@type":"Question","name":"How does Two-Proportion z-Test appear on the AP exam?","acceptedAnswer":{"@type":"Answer","text":"An AP question can ask you to select, check, calculate, and interpret an inference procedure for proportions or [categorical data](/ap-stats/key-terms/categorical-data \"fv-autolink\"). 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