Question

A survey of 1,000 men and women asked, "Do you earn over $55,000 per year?" The table below shows the responses for males and females.

Answer 1

Based on these data, are "being male" and "earning over $55,000" independent events?
No, P(being male | the person earns over $55,000) ≠ P(being male)

No, P(being male | the person earns over $55,000) = P(being male)

Yes, P(being male | the person earns over $55,000) = P(being male)

Yes, P(being male | the person earns over $55,000) ≠ P(being male)

Answer 2

Male Female Total
Income over $55,000 475 375 850
Income below $55,000 75 75 150
Total 550 450 1,000

Answer 3

@master50777 @RadEn

Answer 4

They are not independent events. We can see this most clearly because the probability of having one sex or another is different if you know whether that person does or does not earn that income.

Answer 5

so what do i have to do

Answer 6

Men represent 55% of survey respondants, but they represent 475/850 = 56% of those with higher incomes. The answer options include an explanation which says that the conditional probability is not equal to the population probability.

Answer 7

so a

Answer 8

Yes, A.

This is a limited data set though, so it would be reasonable to allow for the possibility of them being independent events. But this is not well established by the data.

Answer 9

can u help me with more

Answer 10

@DoShKa_SyRiA