Question

which value for r in the table would most likely indicate an association between the conditional variables? 0.09 0.10 0.13 0.79

Explanation:

Step1: Understand the concept of association in conditional variables

If there is no association (i.e., variables are independent), the conditional probability \(P(A|D)\) (which is \(0.12\)) would be equal to \(P(A|E)\) (which is \(R\)). When there is an association, \(R\) should be different from \(0.12\).

Step2: Analyze each option

• If \(R = 0.09\), it is different from \(0.12\).
• If \(R=0.10\), it is close to \(0.12\).
• If \(R = 0.13\), it is close to \(0.12\).
• If \(R=0.79\), it is a value that is more in line with the value of \(B\) in row \(D\) (\(0.78\)) rather than \(A\) in row \(D\) (\(0.12\)), which is a big deviation from what we would expect if there was no association.

Answer:

\(0.79\)