AP®︎ Statistics (pre-2026): Topic 6.8 Flashcards

Master key terms and definitions for Topic 6.8 of AP Statistics (pre-2026) – Confidence Intervals for the Difference of Two Proportions to help you prep for quizzes and the AP exam.

This course has been archived. The College Board updated AP Statistics for the 2026–27 school year, and the units and topics changed.
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Term

Two-Sample Z-Interval for a Difference Between Population Proportions

Definition

A confidence interval procedure for estimating p1 minus p2 using two independent samples.

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Two-Sample Z-Interval for a Difference Between Population Proportions
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A confidence interval procedure for estimating p1 minus p2 using two independent samples.

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Point Estimate for p1 - p2
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The difference between the sample proportions, calculated as p̂1 minus p̂2.

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Confidence Interval Formula for p1 - p2
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Use (p̂1-p̂2) ± z* times sqrt[p̂1(1-p̂1)/n1 + p̂2(1-p̂2)/n2].

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2-Prop Z Interval Calculator Procedure
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A technology command that computes a confidence interval for p1-p2 from two samples of successes and totals.

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Conditions for a Two-Proportion Z-Interval
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Use independent random samples or random assignment, the 10% condition, and large counts in both groups.

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Standard Error and Margin of Error for a Two-Proportion Confidence Interval
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The interval’s spread is z* times the standard error from both sample proportions.

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Interpreting a Confidence Interval for p1 - p2
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We are confident the true population proportion difference falls between the endpoints, in context and units.

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