AP Statistics · Topic 8.7

Skills Focus: Selecting an Appropriate Inference Procedure for Categorical Data Practice

Part of Inference for Categorical Data: Chi-Square.

Practice questions

3

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Sample questions

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Sample 1difficulty 4/5
$Comparing the distribution of one categorical variable in three independent groups uses$
- A
  $Homogeneity$
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- B
  $Independence$
- C
  $Two-proportion z$
- D
  $GoF$
Why
$Multiple groups, one variable \to homogeneity.$
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Sample 2difficulty 4/5
$Comparing the gender distribution across multiple schools (each surveyed independently) calls for$
- A
  $Two-sample t$
- B
  $Test of independence$
- C
  $GoF test$
- D
  $Test of homogeneity$
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Why
$Multiple populations, one categorical variable \to homogeneity.$
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Sample 3difficulty 4/5
$Using χ² with proportions instead of counts is$
- A
  $Acceptable$
- B
  $Better$
- C
  $Same as t test$
- D
  $Incorrect; χ² requires raw counts$
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Why
$Proportions hide the sample-size information needed by χ².$
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