A researcher computes sample correlation coefficients r₁, r₂, r₃ and r₄ from four different samples and obtains their p-values 0.99, 0.999, 0.05 and 0.005. respectively. Correlation coefficient significant at 1% level is

Question

Question

This question was previously asked in

UGC NET Official Paper 1: Held On 14 June 2023 Shift 1

Answer 1

The correct answer is 4, r4.

Key Points

The p-value is a measure of the probability that the correlation coefficient could have occurred by chance.
A p-value of 0.005 means that there is a 0.5% chance that the correlation coefficient could have occurred by chance.
Therefore, r₄ is the only correlation coefficient that is significant at the 1% level.
The other correlation coefficients, r₁, r₂, and r₃, are not significant at the 1% level. This means that there is a greater than 1% chance that they could have occurred by chance.

Here is a table showing the correlation coefficients and their p-values:

As you can see, only r₄ has a p-value that is less than 0.01. Therefore, only r₄ is significant at the 1% level.