What is the critical value for t test testing the significan

What is the critical value for t test testing the significance of the correlation coefficient if = 0.01 and n = 12?

A) 3.169

B) ±3.106

C) 3.106

D) ±3.169

Solution

As

df = n - 2 = 12 - 2 = 10

and alpha = 0.01, two tailed, then by table/technology,

tcrit = +/- 3.169 [ANSWER, D]

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As this is two tailed, the critical value can either be negative or positive.