A well-known example of Simpson's Paradox, published by Bickel, Hammel, and O'Connell, examined admission rates for men and women who had applied to graduate programs at the University of California at Berkeley. The actual breakdown of data for specific programs is confidential, but the point can be made with similar, hypothetical numbers. For simplicity, we will assume there are only two graduate programs. The figures for acceptance to each program are shown in the table.

An example of Simpson's Paradox

	Program A	Program B
Admit	Deny	Total	Admit	Deny	Total
Men	300	335	635	65	300	365
Women	40	25	65	135	300	435
Total	340	360	700	200	600	800

(a)Combine the data for the two programs into one aggregate table. What percentage of all men who applied were admitted? What percentage of all women who applied were admitted?

	Admit	Deny	Total	Percent Admitted
Men				%
Women				%
Total

b)

What percentage of the men who applied did Program A admit?

men %

What percentage of the women who applied did Program A admit? (Round your answer to one decimal place.

women %

c)

What percentage of the men who applied did Program B admit?

men %

What percentage of the women who applied did Program B admit? (Round your answer to one decimal place.)

women %