Problem 1. (9 points) Recent studies have shown that depressed adolescents report more interpersonal stress than non-depressed adolescents and that romantic relationship stress is often reported as the leading cause of stress among adolescents in general. A recent study looked at the link between depression and romantic relationship stress in early adolescence. In a representative sample of adolescents 15% of adolescents were diagnosed with Major Depression. Of those diagnosed with Major Depression 70% also reported a significant amount of romantic relationship stress as measured by a self-report instrument assessing chronic stress. Of adolescents with no depressive symptoms 30% reported a significant amount romantic relationship stress on the same instrument. What is the probability that an adolescent will be diagnosed with depression given that they score highly on a measure of romantic relationship stress?

A= Diagnosis of depression

B= High score on a measure of romantic relationship stress

~B= Low score on a measure of romantic relationship stress

What are the appropriate values for ALL the statements below?

p(A) =

p(~A)=

p(B/A) =

p(B/~A)=

p(A/B)= ____p(B/A)p(A)_____

p(B/A)p(A)+ p(B/~A)p(~A)

Then, answer this question: Does knowing the amount of romantic relationship stress improve your ability to predict depression? How do you know?