%Crime rate Case >> f=[334 372 327 328] f = 334 372 327 328 >> e=1361*[1/4 1/4 1/4 1/4] e = 340.2500 340.2500 340.2500 340.2500 >> Q=sum((f-e).^2./e) Q = 4.0345 >> 1-chi2cdf(Q,4-1) ans = 0.2578 %can't reject H_0 %Education vs. Marital Statue >>f=[550 60 681 144] >>e= [611*1231 611*205 825*1231 825*205]/1436 e = 523.7751 87.2249 707.2249 117.7751 >>(f-e).^2./e ans = 1.3131 8.4975 0.9725 5.8395 >>Q=sum(sum((f-e).^2./e)) Q = 16.6225 >>1-chi2cdf(Q,(3-1)*(3-1)) ans = 0.0023 %reject H_0 %Austen f=[83 29 15 22 43 4] >>sum(f) ans = 196 austen = [434 62 86 236 161 38] >> sum(austen) ans = 1017 >>e =austen/1017*196 e = 83.6421 11.9489 16.5742 45.4828 31.0285 7.3235 >>Q=sum((f-e).^2./e) Q = 42.7378 >>1-chi2cdf(Q,6-1) ans = 4.1759e-08 %reject H_0