6.A study of 40 men finds that their job satisfaction and marital satisfaction scores have a correlation coefficient of 0.52. At 5 percent level of significance, is the correlation coefficient significantly different from 0?

A)   No, t = 2.02.

B)   No, t = 1.68.

C)   Yes, t = 5.86.

D)   Yes, t = 3.76.

The correct answer was D)

H₀: r = 0 vs. H_a: r ≠ 0

t = [ r √(n – 2)] / √(1 – r²)

= [(.52 √(38)] / √(1 – 0.52²) = 3.76

t_c ( α= 0.05 and degrees of freedom = 38) = 2.021

t > t_c hence we reject H_o.