Study Guide — Inference for Categorical Data — Proportions

Statistics · AP

AP-aligned study guide for Inference for Categorical Data — Proportions.

What this standard means

• Identify questions suggested by variation in the shapes of distributions of samples taken from the same population.
• Identify an appropriate confidenceinterval procedure for a population proportion.
• Interpretaconfidence interval for a population proportion.
• to introduce inference tests) Exploring One-Variable Data UNIT
• Interpreting p-Values VAR-6 The normal distribution may be used to model variation.
• Concluding a Test for a Population Proportion DAT-3 Significancetestingallowsustomakedecisionsabouthypotheseswithina

_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 — Proportions.

• [ ] 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