AP®︎ Statistics (pre-2026): Topic 6.11 Flashcards

Master key terms and definitions for Topic 6.11 of AP Statistics (pre-2026) – Carrying Out a Test for the Difference of Two Population Proportions to help you prep for quizzes and the AP exam.

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Term

Two-Proportion Z-Test

Definition

A significance test comparing two population proportions using a standard normal test statistic.

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Two-Proportion Z-Test
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A significance test comparing two population proportions using a standard normal test statistic.

VAR-6.K
Test Statistic for Difference of Two Proportions
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z = (p̂1 - p̂2) divided by the pooled standard error, assuming p1 = p2.

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Pooled Proportion
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The combined sample proportion, p̂c = (x1 + x2) / (n1 + n2), used under the null.

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P-Value in a Two-Proportion Test
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The probability, assuming equal population proportions, of getting a difference at least this extreme.

DAT-3.CDAT-3.C.1
Null and Alternative Hypotheses for Two Proportions
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State H0: p1 = p2 or p1 - p2 = 0, with Ha showing the claimed difference.

DAT-3.DDAT-3.D.1
Decision Rule Using Alpha
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Reject H0 when p-value ≤ α; otherwise fail to reject H0.

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Significance Level
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The cutoff probability for deciding whether sample evidence is strong enough against the null hypothesis.

DAT-3.D
Conclusion in Context for Two Proportions
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State whether evidence supports a difference between the two population proportions in the research setting.

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P-Value Interpretation for Two Proportions
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The chance, assuming equal population proportions, of getting a sample difference this extreme.

DAT-3.CDAT-3.C.1