A study records literacy (A) and employment (B) in a population of 1000. Given (A)=600, (B)=700, (AB)=450. The coefficient of association suggests: MCQ with Answer and Explanation

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A study records literacy (A) and employment (B) in a population of 1000. Given (A)=600, (B)=700, (AB)=450. The coefficient of association suggests:

A. Perfect positive association

B. Negative association

C. No association (independence)

D. Positive association

Answer: Option D

Solution (By JKSSB Mock Tests)

Expected (AB) under independence = (600×700)/1000 = 420. Observed (AB)=450 > 420, indicating positive association. Yule's Q = [(450×150) - (150×250)] / [(450×150) + (150×250)] = (67500-37500)/(67500+37500)=30000/105000≈0.286, confirming positive but not perfect association.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

For two attributes A and B, independence (no association) implies:

A. (AB) = (A)(B)/N²

B. (AB)/N = (A)/N × (B)/N

C. (AB) = 0

D. (AB) = (A) + (B)

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Correct Answer: Option B

Explanation:
Independence means the proportion of items with both attributes equals the product of the individual proportions.

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Question #2

Gross Reproduction Rate (GRR) considers only:

A. Male births

B. Female births

C. Infant deaths

D. Total births

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Correct Answer: Option B

Explanation:
GRR measures the average number of daughters a woman would bear in her reproductive life.

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Question #3

A good questionnaire should avoid leading questions. A leading question is one that:

A. Uses technical jargon

B. Suggests a particular answer

C. Is open-ended

D. Is too long

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Correct Answer: Option B

Explanation:
A leading question biases the respondent towards a specific response, undermining objectivity.

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