Suppose a Company That Has Recently Fired Many of Its

Short Answer

Suppose a company that has recently fired many of its employees produces the following data on the gender (male/female) and job type (managerial/clerical) of the employees.
a. Show that Simpson's paradox holds for these data. (Point out the relevant percentages and the relevant inequalities, i.e., which percentages are greater than which others.)
b. Write a sentence or two explaining, as if to an educated person with no knowledge of statistics, why the paradox happens in this context.