AP Statistics · Topic 2.3
Statistics for Two Categorical Variables Practice
Part of Exploring Two-Variable Data.(UNC-1.I)
Practice questions
2
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Sample questions
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Sample 1difficulty 2/5
The table shows disease outcomes by vaccination status.
Compare the conditional risks of being sick.
- Acheck_circle
Vaccinated 0.02; Unvaccinated 0.10
- B
Cannot be computed
- C
Vaccinated 0.10; Unvaccinated 0.02
- D
Both 0.06
Why
P(sick|vac) = 10/500 = 0.02; P(sick|no vac) = 50/500 = 0.10.
- A
Sample 2difficulty 3/5
Aggregated data show treatment A is better than B, but within every patient subgroup, B is better.
This phenomenon is called:
- Acheck_circle
Simpson's paradox
- B
Heteroscedasticity
- C
Selection bias
- D
Multicollinearity
Why
Simpson's paradox: a trend present in groups can reverse when groups are combined.
- A