Summarize two-category data with two-way tables and interpret joint, marginal, and conditional relative frequencies.
Interpret a conditional relative frequency
Problem
Interpret \(P(\text{owns}~\text{pets}~|~\text{prefers}~\text{cats})=8/15\). Identify the conditioning group and denominator, the intersection numerator, the decimal and percent values, and the contextual meaning.
Big Picture
What this problem is really about
Read a conditional statement as “among” the group named after the condition. That group supplies the denominator, while the people in it who also satisfy the outcome supply the numerator; state the interpretation in condition-first order so the direction is never reversed.
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