school
Acemy

Tests for the Difference of Two Proportions

AP Statistics· difficulty 3/5

Two independent random samples are used to compare proportions p₁ and p₂.

Two-sample conditions 1. Independent random samples 2. n₁p̂_p ≥ 10, n₁(1−p̂_p) ≥ 10 (same for n₂) 3. 10% condition for each

For a two-sample z-test for proportions, the Large Counts condition uses:

  • A

    Each sample's own p̂ only.

  • B

    Only n₁ and the average proportion.

  • C

    The smaller of p̂₁ and p̂₂.

  • D

    The pooled proportion p̂_p applied to both n₁ and n₂.

    check_circle

Explanation

For the test (under H₀: p₁ = p₂), conditions use the pooled proportion applied to each sample size.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode