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📊AP Statistics
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📊AP Statistics

FRQ 3 – Inference
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Unit 3: Inference for Categorical Data: Proportions
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AP Stats FRQ Types & Units

Each FRQ type tests specific skills taught in particular units. Here's why certain units appear for each question type:

FRQFocusUnitsWhy
FRQ 1Multi-Focus on Practices 1 and 21Tests formulating an investigative question and collecting data (sampling, experimental design)
FRQ 2Multi-Focus on Practices 3 and 41, 2, 5Tests analyzing data and interpreting results — graphs, summary statistics, probability, regression output
FRQ 3Inference3, 4One complete inference procedure — a hypothesis test or confidence interval for proportions or means
FRQ 4Multi-Focus on Practices 2, 3, and 4AllCombines content areas across the course, assessing collecting, analyzing, and interpreting together

This mapping reflects College Board's exam structure - each FRQ type tests specific skills that are taught in particular units.

Practice FRQ 1 of 101/10

3. A state housing finance agency is investigating housing affordability in two large metropolitan areas, City A and City B. The agency wants to determine if there is a difference in the proportion of all renters who experienced a rent increase of more than 10% in the past year between the two cities. The agency selected a random sample of 400 renters from City A and an independent random sample of 500 renters from City B. In the sample from City A, 112 renters experienced a rent increase of more than 10%. In the sample from City B, 165 renters experienced a rent increase of more than 10%.

A.

State the appropriate null and alternative hypotheses for testing whether there is a difference in the proportion of all renters who experienced a rent increase of more than 10% in the past year between City A and City B. Define any parameters used.

B.

Identify the appropriate inference procedure and verify that the conditions for this procedure are met.

C.

Calculate the test statistic and the ppp-value for the procedure identified in Part B.

D.

Based on the ppp-value calculated in Part C, what conclusion should the state housing finance agency make at the α=0.05\alpha = 0.05α=0.05 significance level?

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Free Response Question Practice

This practice environment simulates the AP AP Statistics Free Response Questions section. Here are some guidelines:

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