# May 5 - 150 150 300 F e =(RM i x CM j/n =(49 x 150 300 =...

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May 5, 2008 Performing Chi-square tests o If the observed and expected tables are similar, Chi-square will be small; if they are very different, Chi-square will be large o If χ 2 calculated > χ 2 critical, reject H 0 Example White African American Suspended 18 31 49 Not suspended 132 119 251 150 150 300 H 0 H 1 df = (R-1)(C-1) = (2-1)(2-1)=1 α = .05 x 2 critical = 3.841 Expected frequency White African American Suspended 24.5 24.5 49 Not suspended 125.5 125.5 251
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Unformatted text preview: 150 150 300 F e = (RM i x CM j )/n = (49 x 150) / 300 = 24.5 = (49 x 150) / 300 = 24.5 = (251 x 150) / 300 = 125.5 = (251 x 150) / 300 = 125.5 χ2 = Σ ((f o-f e ) 2 )/f o = ((18-24.5) 2 )/24.5 + ((31-24.5) 2 )/24.5 + ((132-125.5) 2 )/125.5 + ((119-125.5) 2 )/125.5 = 42.25/24.5 + 42.25/24.5 + 42.25/125.5 + 42.25/125.5 = 1.7 + 1.7 + .3 + .3 = 4 χ2 = 4 We reject Null hypothesis, it would appear race is related to suspension because χ2 calculated is greater than χ2 critical...
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## This note was uploaded on 03/15/2009 for the course SOCI 301 taught by Professor Kupchick during the Spring '09 term at University of Delaware.

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