AP®︎ Statistics (pre-2026): Topic 5.5 Flashcards

Master key terms and definitions for Topic 5.5 of AP Statistics (pre-2026) – Sampling Distributions for Sample 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This course has been archived.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.
Go to the new AP® Statistics
0%
8 cards total
8 not started
0 learning
0 almost done
0 mastered
Term

Sampling Distribution of a Sample Proportion

Definition

The distribution of possible p-hat values from many repeated random samples of size n.

1 / 8
Sampling Distribution of a Sample Proportion
Not Started

The distribution of possible p-hat values from many repeated random samples of size n.

UNC-3.K
Mean and Standard Deviation of p-hat
Not Started

Mean equals p; standard deviation equals sqrt(p(1-p)/n) for independent samples.

UNC-3.KUNC-3.K.1
10% Condition for Sample Proportions
Not Started

When sampling without replacement, n should be less than 10% of the population size.

UNC-3.KUNC-3.K.2
Sampling Without Replacement Effect
Not Started

Without replacement, variability is slightly smaller than sqrt(p(1-p)/n).

UNC-3.KUNC-3.K.2
Approximate Normal Distribution of p-hat
Not Started

If large counts are met, p-hat is approximately normal in repeated sampling.

UNC-3.LUNC-3.L.1
Interpreting Parameters and Probabilities for p-hat
Not Started

Describe center, spread, or probability using proportions and the specific population context.

UNC-3.MUNC-3.M.1
Large Counts Condition
Not Started

Approximate normality requires at least 10 expected successes and 10 expected failures.

UNC-3.LUNC-3.L.1
Sample Proportion
Not Started

The proportion of successes in a sample, written as p-hat.

UNC-3.K