DA0-002 Data Analysis Practice Question
A data analyst is performing a chi-square test of independence on a contingency table of customer satisfaction (satisfied, neutral, dissatisfied) by region (North, South, East, West). Which THREE of the following are necessary assumptions for the test?
Answer choices
Why each option matters
Answer the question above first, then reveal the full breakdown to understand why each option is right or wrong.
Correct answer & explanation
✓
The two variables are categorical
Chi-square test requires categorical variables, expected frequencies >=5 in at least 80% of cells, and independence of observations.
Answer analysis
Option-by-option breakdown
For each option: why learners choose it and why it is or isn't the right answer here.
- ✓
The two variables are categorical
Why this is correct
Chi-square tests association between categorical variables.
- ✗
The sample size is greater than 30
Why it's wrong here
While large sample helps, no strict minimum; assumption is on expected frequencies.
- ✓
Expected frequencies in each cell are at least 5 (or most cells)
Why this is correct
Standard assumption; small expected frequencies may invalidate test.
- ✓
The observations are independent
Why this is correct
Each observation belongs to one and only one cell.
- ✗
The data must be normally distributed
Why it's wrong here
Chi-square does not assume normality.
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