The Human Resources (HR) department would like to know the type of coverage preferred by its 1,648 employees. The following table shows the contingency table of the employees’ marital status versus...

The Human Resources (HR) department would like to know the type of coverage preferred by its 1,648 employees. The following table shows the contingency table of the employees’ marital status versus the preferred type of medical coverage. POS plans are cheaper but require choosing a participating physician; the Co-Pay plan is more flexible, but requires a co-payment at each visit. Employees can also waive coverage.

a. What does it mean for this table to be a contingency table?¹

b. Add the marginal distributions to the table.²

c. HR suspects that married employees waive coverage most often, presumably because their spouse has family coverage. Choose the most relevant conditional distributions and see if they are right.³