AP Statistics Chi-Square Tests Quiz: 10 Questions with Explanations

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This chi square quiz for AP Statistics covers chi-square tests (Common Core AP STAT 8.1, AP STAT 8.2, AP STAT 8.3, AP STAT 8.4, AP STAT 8.5, AP STAT 8.6, AP STAT 8.7), with a free PDF to print.

Ten multiple-choice questions test chi-square vocabulary, expected counts, and choosing a procedure. Read each explanation to see which condition or formula the distractors misuse.

AP Statistics · Common Core State Standards: AP STAT 8.1, AP STAT 8.2, AP STAT 8.3, AP STAT 8.4, AP STAT 8.5, AP STAT 8.6, AP STAT 8.7

Chi square quiz: 10 questions

Question 1
02461012147.80chi-square
Right tail.

The p-value for this chi-square value (df = 3) is closest to:

Question 2
CategoryObservedExpectedA1824B2224C3024
Three categories.

What is chi-square for this goodness-of-fit table?

Question 3
Col 1Col 2TotalRow 1203050Row 2401050Total6040100
Two-way table.

What is the expected count in the cell Row 1, Col 1?

Question 4
The degrees of freedom for a test of homogeneity with 3 populations and 4 categories are:

Question 5
A chi-square test requires:

Question 6
Chi-square distributions are:

Question 7
Which test compares the distribution of a categorical variable across 3 separate populations?

Question 8
A chi-square statistic of 0 means:

Question 9
To test whether a spinner with 5 equal sections is fair, use:

Question 10
Expected count formula in a two-way table:

Remember

Remember
  • chi-square = sum of (O – E)^2 / E; right-tailed p-value; distribution skewed right.
  • Goodness-of-fit: one categorical variable; df = number of categories – 1.
  • Two-way table: E = row total x column total / grand total; df = (r – 1)(c – 1).
  • Conditions: random sample or random assignment, and all expected counts at least 5.
  • Homogeneity: compare distributions across groups; independence: two variables in one sample.

How to use this chi square 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 chi square quiz as a PDF with the button below and keep it with your notes.

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AP Statistics Chi-Square Tests Quiz: 10 Questions with Explanations

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