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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 1Exploring Data1, 2Tests describing/analyzing data (distributions, scatterplots, correlation)
FRQ 2Sampling & Experimental Design3 onlyTests designing studies, identifying bias, randomization - all Unit 3 content
FRQ 3Probability & Sampling Distributions4, 5Tests probability calculations, expected value, sampling distributions
FRQ 4Inference6, 7, 8, 9Tests hypothesis tests and confidence intervals - each unit covers a different inference type
FRQ 5Multi-FocusAllCombines multiple skills across units in one integrated question
FRQ 6Investigative TaskAllOpen-ended investigation that can draw from any content

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

Practice FRQ 1 of 81/8

3. A state department of education is investigating the effectiveness of a new supplemental reading curriculum for third-grade students. The department selected a random sample of 200 third-grade students from schools using the new curriculum and an independent random sample of 200 third-grade students from schools using the standard curriculum. At the end of the school year, the department recorded whether each student met the state reading proficiency standard. The results are summarized in Table 1.

Curriculum

Number of Students Sampled

Number Who Met Proficiency Standard

New

200

144

Standard

200

124

A.

State the appropriate null and alternative hypotheses for testing whether the proportion of all third-grade students in the state using the new curriculum who meet the reading proficiency standard is greater than the proportion of all third-grade students in the state using the standard curriculum who meet the reading proficiency standard. 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 department of education make at the α=0.05\alpha = 0.05α=0.05 significance level?

Timed

00:00

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Free Response Question Practice

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

  • Read each question carefullybefore responding. Pay attention to command verbs like "identify," "explain," "analyze," or "evaluate."
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Tip: Answer all parts of each question. Partial credit is often available, so even if you are unsure, provide what you know.