Question

The following table uses data from the U.S. Census Bureau from 2007 and 2012. The table...

The following table uses data from the U.S. Census Bureau from 2007 and 2012. The table considers business owners aged 25-64 with paid employees and breaks those individuals down by race and gender. Note: This not not include all racial or ethnic groups and gender categories were restricted to those asked on the census.

 Male Female Total White 2933198 855200 3788398 Asian American 283538 126328 409866 Hispanic 188130 67079 255209 Black 60439 38609 99048 American Indian 17557 7759 25316 Total 3482862 1094975 4577837

Question 1

Calculate P(Male|Asian American).

Question 2

Is a business being black owned independent of gender? Use calculations like those we have done in examples to back up your claim.

Yes, because P(black) is equal to P(black|male).

Yes, because P(black) is not equal to P(black|male).

No, because P(black) is equal to P(black|male).

No, because P(black) is not equal to P(black|male).

 Male Female Total White 2933198 855200 3788398 Asian American 283538 126328 409866 Hispanic 188130 67079 255209 Black 60439 38609 99048 American Indian 17557 7759 25316 Total 3482862 1094975 4577837

1) P(Male|Asian American) = P(Male and Asian american) / P ( Asian american)

P(Male|Asian American) = (283538 / 4577837) / (409866 / 4577837)

P(Male|Asian American) = 283538 / 409866 = 0.6918

P(Male|Asian American) = 0.6918

2) No, because P(black) is not equal to P(black|male).

P(black) = 99048 / 4577837 = 0.0216

P(black/ male) = 60439 / 3482862 = 0.0174

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