hiring Statistics. (This problem is based on an example in

“Ask Marilyn” column in Parade Magazine.) A company decided to expand, so it opened a factory, generating 455 jobs. For the 70 white-collar positions, 200 males and 200 females applied. Of the females who applied, 20%

were hired, while only 15% of the males were hired. Of the 400 males applying for the blue-collar positions, 75%

were hired, while 85% of the 100 females who applied were hired. How does looking at the white-collar and bluecollar positions separately suggest a hiring preference for women? Do the overall data support the idea that the company hires women preferentially? Explain why this is an example of Simpson’s paradox and how the paradox can be resolved.