A manufacturing firm is considering a shift from a 5-day workweek (8 hours per day) to a 4-day workweek (10 hours per day). Samples of the preferences of 188 employees in 4 divisions produced the...

A manufacturing firm is considering a shift from a 5-day workweek (8 hours per day) to a 4-day workweek (10 hours per day). Samples of the preferences of 188 employees in 4 divisions produced the following contingency table.

a. What would it mean to this firm if the preference of employees is independent of the division?
¹

b. State the null hypothesis of the chi-squared test of independence in terms of the parameters of 4 segments (the divisions) of the population of employees.²