Question

A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and females.

Answer 1

Male Female Total
Income over $50,000 485 385 870
Income below $50,000 65 65 130
Total 550 450 1,000

Answer 2

Based on these data, are "being male" and "earning over $50,000" independent events?

Yes, P(being male | the person earns over $50,000) ≠ P(being male)

Yes, P(being male | the person earns over $50,000) = P(being male)

No, P(being male | the person earns over $50,000) ≠ P(being male)

No, P(being male | the person earns over $50,000) = P(being male)

Answer 3

Independent events: P(A and B) = P(A)P(B)

P(male, >50k) = 485/1000 = .485
P(male) = 550/1000 = .550
P(>50k) = 870/1000 = .870

P(male)P(>50k) = .4785 not 0.485 thus not independent

The options seem to use another criterion, however.

Answer 4

Yea I kind of do not really get what the question is asking... I am super confused.

Answer 5

I guess if independent then
P(being male and >50k/yr) = P(being male)
because making >5ok would not make you more or less likely to be a male.

Answer 6

Yes, I was going to ask you if you thought that it would be D... I will just go with that. It makes the most sense I think.

Answer 7

Thank you for your help (:

Answer 8

We were not correct... I think it was actually C lol