Question

a b c total
d 0.12 0.78 0.10 1.0
e r s t 1.0
total u x y 1.0
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 independence condition

For variables to be independent, the value of $R$ should be equal to the marginal probability of $A$ (which is 0.12, from row D, column A). A value far from 0.12 indicates an association.

Step2: Compare options to 0.12

• $|0.09 - 0.12| = 0.03$
• $|0.10 - 0.12| = 0.02$
• $|0.13 - 0.12| = 0.01$
• $|0.79 - 0.12| = 0.67$

The largest difference means the strongest association.

Answer:

0.79