Question

QUESTION 9 Chi-Square The contingency table below contains neighborhood-level homicide data broken down by victim race. Using an a of .05, conduct a five-step hypothesis test to determine whether there is a relationship between neighborhood and victim race. Neighborhood Race Shenandoah Mahanoy North Schuylkill White 34 35 20 Black 12 Hispanic 8 3 0 Question: Do you reject the null hypothesis? 36 18 Yes ОО No

Answer 1

rus(0-1= 16.3600 Observed Values: R1 R2 R3 Column Total C1 34 12 8 54 C2 35 36 3 74 C3 20 18 0 38 Row Total 89 66 11 166 0 34 12 8 35 36 3 20 18 0 E (O-E)?/E 28.9518 0.8802 21.4699 4.1770 3.57831 5.4638 39.6747 0.5508 29.4217 1.4708 4.90361 0.7390 20.3735 0.0068 15.1084 0.5534 2.51807 2.5181 Total 16.3600 Expected Values = [(Row total x Column total)/Grand total] C1 C2 C3 R1 28.9518 39.674720.3735 R2 21.4699 29.4217 15.1084 R3 3.57831 4.903612.51807

Number of rows =r= 3 Number of columns =C = 3 D.F =(r-1)x(C-1) = 4 Significance level= a = 0.05 Critical Value = 9.4877 (Using Excel command CHIINV(a,D.F)) P-value = 0.0026 (Using Excel command CHIDIST( x2 ,D.F)) Conclusion: Reject HO

Ans: YES