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? (5 points)

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

Is it the last one? @ranga

Answer 4

A and B are independent if P(A|B) = P(A).
In this case A is 'being male', and B is 'the person earns over $50,000'.
P(being male) = 550/1000 = 0.55
P(being male | the person earns over $50,000) = 485/870 = 0.557
So we find:
No, P(being male | the person earns over $50,000) ≠ P(being male)

Answer 5

Thank you!!!

Answer 6

You're welcome :)