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A researcher computes sample correlation coefficients r1, r2, r3 and r4 from four different samples and…

Paper 1 · Research Aptitude UGC NET December 2023 (11.12.2023) Shift-II
A researcher computes sample correlation coefficients r1, r2, r3 and r4 from four different samples and obtains 0.97, 0.95, 0.10 and 0.03 respectively as their p-values. The correlation coefficient significant at the 5% level is:
AR1
BR2
CR3
DR4 ✓ Correct
Correct answer: (D) R4 — The coefficient r4 is significant at the 5 percent level, so the answer is r4.
Explanation
The coefficient r4 is significant at the 5 percent level, so the answer is r4.
A result is significant when its p-value is below 0.05.
The p-values are 0.97, 0.95, 0.10 and 0.03 for r1 to r4.
Only r4 has a p-value of 0.03, which is below 0.05.
The others have p-values well above 0.05.
So only r4 is significant at the 5 percent level.

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