Paper 1 · Research Aptitude
UGC NET June 2023 (13.06.2023) Shift-II
Which of the following p-values would signify that a sample correlation coefficient is significant at the 1% level of significance?
A0.005 ✓ Correct
B0.02
C0.99
D0.95
Correct answer: (A) 0.005 — Only 0.005 is below 0.01, so the answer is 0.005.
Explanation
★Only 0.005 is below 0.01, so the answer is 0.005.
★The 1% level of significance requires the p-value to be less than 0.01.
★A p-value is the probability of the observed result if the null hypothesis is true.
★The value 0.005 is under 0.01, so it is significant at the 1% level.
★The value 0.02 is above 0.01, so it is significant only at the 5% level, not 1%.
★The values 0.99 and 0.95 are very large, giving no evidence against the null hypothesis.
★The smaller the p-value, the stronger the evidence that the correlation is not due to chance.
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