Construct and interpret two-way frequency tables as sample spaces for independence and conditional probability.
Draw a bounded association conclusion from conditional percentages
Problem
Compare the sample math-preference rates, \(60\%\) for club members and \(35\%\) for nonmembers. State the bounded association conclusion and the group with the higher rate without claiming causation.
Big Picture
What this problem is really about
Association is evaluated by comparing the same outcome’s conditional rate across groups. We’ll align the two math-preference percentages, calculate and orient the percentage-point gap, state the sample association and higher-rate group, and bound the conclusion so it neither claims causation nor automatic population generalization.
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