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Reading 11- LOS C : Q6

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. Ha: r 0

t = [ r (n – 2)] / (1 – r2)

= [(.52 (38)] / (1 – 0.522) = 3.76

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

t > tc hence we reject Ho.

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