--- title: "One-Proportion z-Test | AP Stats Definition" description: "A one-proportion z-test uses sample data to test a claim about one population proportion against a hypothesized value." canonical: "https://fiveable.me/ap-stats/key-terms/one-proportion-z-test" type: "key-term" subject: "AP Statistics" unit: "Unit 3" --- # One-Proportion z-Test | AP Stats Definition ## Definition A one-proportion z-test uses sample data to test a claim about one population proportion against a hypothesized value. ## What It Is A one-proportion [z-test](/ap-stats/key-terms/z-test "fv-autolink") uses 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 one population proportion against a hypothesized value. In [AP Statistics](/ap-stats "fv-autolink"), this term belongs to 3.5 Setting Up a Test for a Population Proportion and 3.7 Carrying Out a Test for a Population Proportion. Use the notation and conditions attached to the procedure or model, then interpret the result in context. ## Why It Matters One-Proportion z-Test supports [Unit 3](/ap-stats/unit-3 "fv-autolink"): Inference for Categorical Data: Proportions. The relevant CED learning objectives cover justify the appropriateness of a [hypothesis test](/ap-stats/key-terms/hypothesis-test "fv-autolink") for a population proportion by verifying conditions; identify the null and alternative hypotheses for a population proportion. ## Connections ### 3.5 Setting Up a Test for a Population Proportion One-Proportion z-Test is used in this topic. Connect the definition to the topic's calculations and interpretations in context. ### 3.7 Carrying Out a Test for a Population Proportion One-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 one-proportion z-test uses sample data to test a claim about one population proportion against a hypothesized value. - One-Proportion z-Test is mapped to 3.5 Setting Up a Test for a Population Proportion and 3.7 Carrying Out a Test for a Population Proportion in the current AP Statistics course. - On an AP question, use One-Proportion z-Test as part of a complete calculation or interpretation, not as an isolated label. ## FAQs ### What is One-Proportion z-Test in AP Statistics? A one-proportion z-test uses [sample data](/ap-stats/key-terms/sample-data "fv-autolink") to test a claim about one population proportion against a hypothesized value. ### Which AP Stats unit covers One-Proportion z-Test? One-Proportion z-Test appears in Unit 3: Inference for Categorical Data: Proportions, especially 3.5 [Setting Up a Test for a Population Proportion](/ap-stats/unit-3/setting-up-test-for-population-proportion/study-guide/QLu7hUN0rwtnxLF7YdBT "fv-autolink") and 3.7 Carrying Out a Test for a Population Proportion. ### How does One-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 One-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 - [3.7 Carrying Out a Test for a Population Proportion](/ap-stats/unit-3/concluding-test-for-population-proportion/study-guide/THZeUpkm11DAwnNb6p4g) - [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/one-proportion-z-test#resource","name":"One-Proportion z-Test | AP Stats Definition","url":"https://fiveable.me/ap-stats/key-terms/one-proportion-z-test","learningResourceType":"Concept explainer","educationalLevel":"AP® / High School","about":{"@id":"https://fiveable.me/ap-stats/key-terms/one-proportion-z-test#term"},"audience":{"@type":"EducationalAudience","educationalRole":"student"},"dateModified":"2026-08-04T00:38:30.673Z","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/one-proportion-z-test#term","name":"One Proportion Z Test","description":"A one-proportion z-test uses sample data to test a claim about one population proportion against a hypothesized value.","url":"https://fiveable.me/ap-stats/key-terms/one-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 One-Proportion z-Test in AP Statistics?","acceptedAnswer":{"@type":"Answer","text":"A one-proportion z-test uses [sample data](/ap-stats/key-terms/sample-data \"fv-autolink\") to test a claim about one population proportion against a hypothesized value."}},{"@type":"Question","name":"Which AP Stats unit covers One-Proportion z-Test?","acceptedAnswer":{"@type":"Answer","text":"One-Proportion z-Test appears in Unit 3: Inference for Categorical Data: Proportions, especially 3.5 [Setting Up a Test for a Population Proportion](/ap-stats/unit-3/setting-up-test-for-population-proportion/study-guide/QLu7hUN0rwtnxLF7YdBT \"fv-autolink\") and 3.7 Carrying Out a Test for a Population Proportion."}},{"@type":"Question","name":"How does One-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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