Chapter 12 Chi

# Chapter 12 Chi - (i.e. do men and women have the same...

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Chapter 12 Chi-Square Tests Used to analyze categorical variables and thus looks at frequencies in different categories. Two types of tests: 1) Goodness of fit (of a variable to a hypothesized distribution) 2) Independence (of the distributions of several variables) Example 1 ) Are automobile accidents in a city evenly distributed over the days of the week? Ho Accidents are evenly distributed over the days of the week. Ha Accidents are not evenly distributed over the days of the week. α = .05 = Sun Mon Tue W ed Thr Fri Sat To tal observed 28 12 14 18 20 22 26 140 expected 20 20 20 20 20 20 20 140 (obs - exp) 2 exp 3.2 3.2 1.8 0.2 0 0.2 1.8 10.4 P(χ 2 w/6df ≥ 10.4) = .1088 = p-value Accept Ho since p-val = .1088 > .05

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Example 2 ) Is job satisfaction level independent of gender?
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Unformatted text preview: (i.e. do men and women have the same distribution of job satisfaction?) Ho The distribution of satisfaction is the same for men and women. Ha Not Ho = .05 Notes: 1) Under Ho, men and women have the same distribution of job satisfaction and thus we would expect the same percent of men and women to be satisfied, the same percent of each gender to be neutral and the same percent to be unsatisfied. 2) If men and women have the same percent in a category the best estimate of this common percent is obtained by pooling the data for men and women. Job Satisfaction Row Totals Very Satisfied Neutral Unsatisfied Gender F 45 110 45 M 30 40 30 Column Totals Grand Total...
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## This note was uploaded on 12/05/2011 for the course MATH 2040 taught by Professor Raysievers during the Fall '10 term at Utah Valley University.

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Chapter 12 Chi - (i.e. do men and women have the same...

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