AP®︎ Statistics: Topic 3.10 Flashcards

Master key terms and definitions for Topic 3.10 of AP Statistics – Constructing a Confidence Interval for the Difference Between Two Population Proportions to help you prep for quizzes and the AP exam.

0%
15 cards total
15 not started
0 learning
0 almost done
0 mastered
Term

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

Definition

Confidence interval procedure for estimating p1 - p2 from two independent groups for the same binary response

1 / 15
Two-Sample Z-Interval for a Difference Between Population Proportions / Two-Proportion Z-Interval
Not Started

Confidence interval procedure for estimating p1 - p2 from two independent groups for the same binary response

3.10.A3.10.A.1
p1 - p2
Not Started

Parameter: the true difference in population proportions of success, defined as group 1 minus group 2 in context

3.10.A3.10.A.2
p̂1 - p̂2
Not Started

Point estimate for p1 - p2; the observed difference between the two sample proportions

3.10.C3.10.C.1
Randomization Condition
Not Started

Data come from two independent random samples or from a randomized experiment with randomly assigned treatments; the two groups must be independent

3.10.B3.10.B.1.i
10% Condition
Not Started

When sampling without replacement, n1 ≤ 0.10N1 and n2 ≤ 0.10N2; not needed for a randomized experiment

3.10.B3.10.B.1.ii
Normality Condition
Not Started

All four observed counts are at least 10: n1p̂1, n1(1-p̂1), n2p̂2, and n2(1-p̂2); these are observed counts, not expected counts

3.10.B3.10.B.1.iii
Standard Error for p̂1 - p̂2
Not Started

SE = sqrt(p̂1(1-p̂1)/n1 + p̂2(1-p̂2)/n2)

3.10.D3.10.D.1
Margin of Error for a Difference Between Two Proportions
Not Started

MOE = z*sqrt(p̂1(1-p̂1)/n1 + p̂2(1-p̂2)/n2)

3.10.D3.10.D.2
Confidence Interval Formula for p1 - p2
Not Started

(p̂1 - p̂2) ± z*sqrt(p̂1(1-p̂1)/n1 + p̂2(1-p̂2)/n2)

3.10.C3.10.C.2
Unpooled Standard Error
Not Started

For a confidence interval, use p̂1 and p̂2 separately in the SE; do not combine them into one pooled proportion

3.10.D3.10.D.1
Order of Subtraction
Not Started

Group 1 minus group 2 must stay consistent in the parameter, point estimate, formula, interval, and context; reversing order changes only the sign

3.10.A3.10.A.2
z*
Not Started

Standard normal critical value for the chosen confidence level; -z* and z* enclose the middle C proportion of the distribution

3.10.D3.10.D.2
Common z* Values
Not Started

90%: 1.645, 95%: 1.96, 99%: 2.576

3.10.D3.10.D.2
2-PropZInt
Not Started

Calculator command for a two-proportion z-interval; inputs: x1, n1, x2, n2, and confidence level

3.10.C3.10.C.2
Parameter Definition in Context for p1 - p2
Not Started

Identify the success category, both populations or treatments, and the order of subtraction; p1 - p2 is group 1 minus group 2

3.10.A3.10.A.2