Chapter 11, Problem 11.7P

$\boxed{PA}$ Various supervisors in the city government of Shinbone, Kansas, have been rated on the extent to which they practice authoritarian styles of leadership and decision making. The efficiency of each department has also been rated, and the results are summarised in the following table. Use column percentages, the maximum difference, and an appropriate measure of association to describe this association. What is the direction of the association?

Efficiency	Authoritarianism
	Low	High	Totals
Low	10	12	22
High Totals	$\frac{17}{27}$	$\frac{5}{17}$	$\frac{22}{44}$