Researchers conducted an experiment to determine whether the proportion of mentally ill patients of each social class housed in a county faci lity agrees with the social class distribution of the county. The observed cell numbers for the 400 patients classified are given here.
Lower: 215 Upper-middle: 60
Lower-middle: 100 Upper: 25
Use these data to test the null hypothesis
πl = .25 π2 = .20
π3 = .48 π4 = .07
where the πs are the hypothesized proportions of people in the respective social-class categories in the county. Use α = .05 and draw conclusions.
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