H0 trueH0 falseReject H0Type ICorrectFail to rejectCorrectType IIErrors.A Type I error occurs when:

H0 is false and we fail to reject it

H0 is true and we fail to reject it

AP Statistics Significance Tests for a Proportion Quiz: 10 Questions with Explanations

AP Statistics math quiz: Significance Tests for a Proportion – Maths PDF

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This test proportion quiz for AP Statistics covers significance tests for a proportion (Common Core AP STAT 6.4, AP STAT 6.5, AP STAT 6.6, AP STAT 6.7, HSS-IC.A.2, HSS-IC.B.5), with a free PDF to print.

Ten multiple-choice questions test hypotheses, p-values, and errors. Read the explanations, since misinterpreting a p-value is the most common error on the AP exam.

AP Statistics · Common Core State Standards: AP STAT 6.4, AP STAT 6.5, AP STAT 6.6, AP STAT 6.7, HSS-IC.A.2, HSS-IC.B.5

Test proportion quiz: 10 questions

Question 1

P-value.

The shaded area is closest to:

Question 2

P-value.

For Ha: p < p0 with z = -1.8, the p-value is about:

Question 3

Errors.

A Type I error occurs when:

Question 4

A p-value of 0.02 means:

Question 5

Which is the correct conclusion for p-value = 0.20, alpha = 0.05?

Question 6

The null hypothesis always contains:

Question 7

Increasing the sample size (everything else equal) will:

Question 8

The large counts condition for a test of H0: p = 0.4 with n = 50 uses:

Question 9

Alpha = 0.01 compared with alpha = 0.05 makes it:

Question 10

A confidence interval for p of (0.45, 0.55) and H0: p = 0.60 (two-sided, alpha = 0.05) lead to:

Remember

H0 states no effect (p = p0); Ha is p > p0, p < p0, or p not equal to p0.
z = (p-hat – p0) / sqrt(p0(1 – p0)/n); check random, 10%, and large counts with p0.
p-value: probability of a result at least as extreme as observed, assuming H0 is true.
p-value < alpha: reject H0 (convincing evidence); otherwise fail to reject; never 'accept H0'.
Type I error: reject true H0 (probability alpha). Type II: fail to reject false H0; power = 1 – P(Type II).

How to use this test 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.

Download the test proportion quiz as a PDF with the button below and keep it with your notes.

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