Correlation coefficients (r) along with their respective P-values are given. Identify the two most significant correlation coefficients from the following. Choose the correct answer from the options given below.

1.R = 0.77, p = 0.25

2.R = -0.61, p = 0.01

3.R = 0.41, p = 0.59

4.R = -0.37, p = 0.03

A1 and 2 only

B1 and 3 only

C2 and 4 only ✓ Correct

D3 and 4 only

Correct answer: (C) 2 and 4 only

Explanation

The two most significant correlations are those with the smallest p-values, namely 0.01 and 0.03 in statements 2 and 4.

Significance depends on the p-value, not on the size or sign of r.

Statement 1 with r 0.77 but p 0.25 is non-significant despite the strong coefficient.

Statement 3 with r 0.41 and p 0.59 is clearly non-significant.

A negative r such as minus 0.61 can still be highly significant when its p is low.

Both 0.01 and 0.03 fall below the conventional 0.05 threshold.

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