AP Statistics Confidence Intervals for a Proportion Quiz: 10 Questions with Explanations

AP Statistics math quiz: Confidence Intervals for a Proportion – Maths PDF

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This confidence interval proportion quiz for AP Statistics covers confidence intervals for a proportion (Common Core AP STAT 6.1, AP STAT 6.2, AP STAT 6.3, HSS-IC.B.4), with a free PDF to print.

Ten multiple-choice questions test the interval formula and the meaning of confidence. Read the explanations to avoid the usual wording mistakes.

AP Statistics · Common Core State Standards: AP STAT 6.1, AP STAT 6.2, AP STAT 6.3, HSS-IC.B.4

Confidence interval proportion quiz: 10 questions

Question 1

Interval.

What is the margin of error for this interval?

Question 2

p = 0.520.30.40.50.60.7

Roughly how many of the 20 intervals should capture the true proportion in the long run?

Question 3

The critical value z* = 1.96 captures the middle 95% of the standard normal curve.

The value 1.96 is:

Question 4

Which change makes the interval narrower?

Question 5

A 95% CI is (0.31, 0.39). Which conclusion is correct?

Question 6

The large counts condition for an interval requires:

Question 7

To halve the margin of error, the sample size should be:

Question 8

A confidence level of 99% compared with 95% gives:

Question 9

The standard error of p-hat when p-hat = 0.4 and n = 100 is about:

Question 10

A call-in poll with 5,000 responses shows 70% in favor. A 95% CI is invalid because:

Remember

Interval: p-hat +/- z* sqrt(p-hat(1 – p-hat)/n); z* = 1.645, 1.960, 2.576 for 90%, 95%, 99%.
Conditions: Random, 10% (n < 10% of population), Large counts (n p-hat and n(1 - p-hat) at least 10).
Interpret the interval in context; interpret the level as the long-run capture rate.
Higher confidence or smaller n gives a wider interval; quadrupling n halves the margin of error.
A claimed value outside the interval is not plausible at that confidence level.

How to use this confidence interval proportion quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

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