Question:
If for two attributes A and B, \(N = 140\), \((A) = 100\), \((B) = 105\) and \((AB) = 25\), the attributes A and B are:
If for two attributes A and B, \(N = 140\), \((A) = 100\), \((B) = 105\) and \((AB) = 25\), the attributes A and B are:
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Compare the actual (AB) with the independence value (A)(B)/N.
Updated On: Jul 4, 2026
- Dependent
- Positively associated
- Negatively associated
- Independent
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The Correct Option is C
Solution and Explanation
Step 1: Under independence, the expected frequency of (AB) would be \(\dfrac{(A)(B)}{N}\).
Step 2: Compute this expected value: \(\dfrac{(A)(B)}{N} = \dfrac{100 \times 105}{140} = \dfrac{10500}{140} = 75\).
Step 3: Compare with the actual value \((AB) = 25\), which is much less than the expected 75.
Step 4: Since actual \((AB)\) is less than the independence expectation, A and B occur together less than they would by chance, so the attributes are negatively associated.
\[\boxed{\text{Negatively associated}}\]Was this answer helpful?
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