Summarize two-category data with two-way tables and interpret joint, marginal, and conditional relative frequencies.
Interpret a joint relative frequency
Problem
Interpret a \(20\%\) joint relative frequency for \(C~=~\text{prefers}~\text{cats}\) and \(P~=~\text{owns}~\text{pets}\). State the event operation, numerator group, denominator group, and contextual meaning.
Big Picture
What this problem is really about
The word joint means both category conditions hold at once, so think intersection rather than union or a conditional subgroup. Name the people satisfying both conditions in the numerator and all surveyed people in the denominator, then state the percentage with both groups and the full reference population.
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