Chapter 10, Problem 10.12P

$\boxed{SOC}$ An urban planning commissioner has created a database describing a sample of the neighborhoods in her city and has developed a scale by which each area can be rated for the “quality of life" (this includes measures of pollution, noise, open space, services available, and so on). She has also asked samples of residents of these areas about their level of satisfaction with their neighborhoods. Is there statistically significant agreement between the commissioner’s objective ratings of quality of life and the respondents’ self-reports of satisfaction? Write a sentence or two explaining your findings, including the results of the chi square test and pattern of column percentages.

Satisfaction	Quality of life
	Low	Moderate	High	Totals
Low	21	15	6	42
Moderate	12	25	21	58
High Totals	$\frac{8}{41}$	$\frac{17}{57}$	$\frac{32}{59}$	$\frac{57}{157}$