Question

The results of an independent-measures research study are reported as "t(22) = 2.12, p < .05, two tails." for this study, what t values formed the boundaries for the critical region?

Answer 1

As the level of significance here is 0.05 because we are comparing the p-value with 0.05. Therefore the critical region boundaries here would be given as:

For 5 degrees of freedom, we get: ( from the t-distribution tables )

P(t_5 < 2.571) = 0.975

Therefore due to symmetry, we get:

P(-2.571 < t_5 < 2.571) = 0.95

Therefore the critical region here would be given as: +2.571 and -2.571