Be a Simpson! Can you design a Simpsons paradoxTwo

Chapter 3, Problem 40

(choose chapter or problem)

Be a Simpson! Can you design a Simpsons paradox?Two companies are vying for a citys Best Local Em-ployer award, to be given to the company most committedto hiring local residents. Although both employers hired300 new people in the past year, Company A brags that itdeserves the award because 70% of its new jobs went tolocal residents, compared to only 60% for Company B.Company B concedes that those percentages are correct, butpoints out that most of its new jobs were full-time, whilemost of Company As were part-time. Not only that, saysCompany B, but a higher percentage of its full-time jobswent to local residents than did Company As, and thesame was true for part-time jobs. Thus, Company B argues,its a better local employer than Company A.Show how its possible for Company B to fill a higherpercentage of both full-time and part-time jobs withlocal residents, even though Company A hired morelocal residents overall.