The entirely fictitious University of South Central Maryland

The (entirely fictitious) University of South Central Maryland (USCM) is being sued for sexually discriminatory hiring practices. Last year, they hired two classes of employees: administrative staff and academic staff.

They received 750 applications from women for administrative staff positions, of which they hired 250, and 250 applications from women for academic positions, of which they hired 200.

In total, then, they had 1000 applications from women of which they hired 450, or 45%.

They received 300 applications from men for the administrative positions, of which they hired 75, and 700 applications from men for the academic positions, of which they hired 550. In total, of the 1000 applications they received from men, they hired 625, or 62.5%.

The question here is, is there any merit for the law suit based on the numbers?

And when you\'re done take a moment to find out what this Simpson\'s Paradox thing is anyway...how does it apply here?

Solution

IF WE SEE THAT IN ADMINISTRATIVE 300 APPLICATION OF MEN AND 750 APPLICATION OF WOMEN WERE RECIEVED . BUT IF WE SEE THE PROPORTION OF STAFF THAT GET SELECTED IS 33.33% OF WOMEN GOT SELECTED AND 25% OF MEN GOT SELECTED.

NOW IF WE SEE IN THE ACDEMIC STAFF SELECTION 250 WOMEN APPLICATION AND 700 MEN APPLICATIN WERE RECEIVED ACCORDING TO WHICH IF WE SEE IN PROPORTION 78.57% OF MEN GOT SELECTED AND 80% OF WOMEN GOT SELECTED

SO AS WE SEE THERE IS NOT MUCH DIFFERENCE IN THE RESPECTIVE STAFF SELECTION THERE IS NOT MUCH DIFFERENCE SO THERE IS NO MERIT FOR LAW SUIT ON THE NUMBERS