A researcher computes sample correlation coefficients r1, r2, r3 and r4 from four different samples and obtains their p-values as 0.99, 0.999, 0.05 and 0.005 respectively. The correlation coefficient significant at the 1% level is
AR1
BR2
CR3
DR4 ✓ Correct
Correct answer: (D) R4
Explanation
Only r4 with a p-value of 0.005 is significant at the 1% level, since 0.005 is below 0.01.
Significance at the 1% level demands a p-value smaller than 0.01.
The p-value of 0.99 for r1 shows no significance at all.
The p-value of 0.999 for r2 is even further from significance.
The p-value of 0.05 for r3 clears only the 5% level, not the stricter 1% level.
A lower p-value reflects stronger evidence that the correlation is not due to chance.
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