Question

Male
Female
Promoted
288
36
Not Promoted
672
204


After reviewing the data, a labour equity committee charged discrimination on the basis that 288 males had been promoted and only 36 women. Management countered that the relatively low number of promotions for women was not due to discrimination but due to the fact that there are fewer women in the workforce. Although probabilities cannot prove discrimination, they can lend support to an argument.

Convert the raw data into a joint probability table.