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Study Guide — Inference for Categorical Data — Chi-Square

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Statistics · AP

AP-aligned study guide for Inference for Categorical Data — Chi-Square.

What this standard means

  • Identify questions suggested by variation between observed and expected counts in categorical data.
  • Describechi-square distributions.
  • Calculate the appropriate statisticforthechi-square testforgoodnessoffit.
  • Calculate expected counts fortwo-waytablesof categorical data.
  • Identify the null and alternative hypotheses forachi-squaretest for homogeneity or independence.
  • Carrying Out a Chi-Square Test for Homogeneity or Independence

_See printable PDF for diagram._

How to use the 20 practice sets

| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |

Pacing: 10–15 minutes per session.

How to practice

1. Label axes and units on displays 2. Describe shape, center, and spread 3. Interpret correlation vs causation carefully

_See printable PDF for diagram._

Common mistakes

  • Misreading scales
  • Claiming causation from correlation

Review and practice tests

1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for Inference for Categorical Data — Chi-Square.

  • [ ] Creates and interprets data displays
  • [ ] Describes distributions accurately
  • [ ] Fits and interprets a model when appropriate

Materials for this standard

  • Practice Problems — 20 printable sets
  • Review — 10 difficulty levels
  • Practice Test — 10 difficulty levels
  • Answer key — for parents and tutors

For your personal study only. Copying, printing, screenshotting, or sharing this material is not permitted and may result in loss of access.

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