$1-$10 $11-$50 $51-$100 $101-$200 Total High School 207 282 241 103 833 College grad 234 242 232 150 858 Totals =B3+B4 =C3+C4 =D3+D4 =E3+E4 =F3+F4 HO There is no relation between variables Alt There is a ignificant relation between the two variables Expected values Row total * column total/grand total Edu Level $1-$10 $11-$50 $51-$100 $101-$200 Total High School =(F3*B5)/F5 =(F3*C5)/F5 =(F3*D5)/F5 =(F3*E5)/F5 =SUM(B14:E14) College grad =(F4*B5)/F5 =(F4*C5)/F5 =(F4*D5)/F5 =(F4*E5)/F5 =SUM(B15:E15) Total =B14+B15 =C14+C15 =D14+D15 =E14+E15 =F14+F15 observed calculated (o-c)^2/c =B3 =B14 =(A19-B19)^2/B19 =C3 =C14 =(A20-B20)^2/B20 =D3 =D14 =(A21-B21)^2/B21 =E3 =E14 =(A22-B22)^2/B22 =B4 =B15 =(A23-B23)^2/B23 =C4 =C15 =(A24-B24)^2/B24 =D4 =D15 =(A25-B25)^2/B25 =E4 =E15 =(A26-B26)^2/B26 Chi-Squared =SUM(C19:C26) degrees of freedom = (no. of rows-1) * (no. of columns-1) (2-1) * (4-1) = 3 look up 3 degrees of freedom and 0.05 p value = 7.815 Since Chi-Square is greater than the p value so reject the null hypothesis. The difference between observed and expected is statistically significant accept the alternative hypothesis accept the alternative hypothesis