Summarize two-category data with two-way tables and interpret joint, marginal, and conditional relative frequencies.
Choose the correct denominator for a relative frequency question
Problem
For this relative-frequency question, what is the correct denominator: What percent of all students prefer cats and own pets?
Big Picture
What this problem is really about
The denominator comes from the reference group named by words such as “of” or “among,” not from whichever category sounds most prominent. Separate the joint group being counted in the numerator from the full group the percentage is measured out of, then match that reference group to the table total.
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