Question

a b total c x 0.25 g d y 0.68 h e z 0.07 j total 1.0 1.0 1.0 which value for y in the table would be least likely to indicate an association between the variables? 0.06 0.24 0.69 1.0

Explanation:

Step1: Understand independence condition

For no association (independence), $P(D|B) = P(D)$. Here, $P(D|B)=0.68$, so $P(D)$ should equal 0.68 for independence.

Step2: Link Y to total probability

The total for column A is 1.0, and $P(D|A)=Y$. For independence, $Y$ should equal $P(D)=0.68$. The value closest to 0.68 will least indicate an association.

Step3: Compare options to 0.68

• $|0.06-0.68|=0.62$
• $|0.24-0.68|=0.44$
• $|0.69-0.68|=0.01$
• $|1.0-0.68|=0.32$

The smallest difference is 0.01, corresponding to 0.69.

Answer:

0.69