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806 Appendix
TABLE 3 Critical Values for the x2 Distribution
Significance Level
Degrees of Freedom 10% 5% 1%
1 2.71 3.84 6.63
2 4.61 5.99 9.21
3 6.25 7.81 11.34
4 7.78 9.49 13.28
5 9.24 11.07 15.09
6 10.64 12.59 16.81
7 12.02 14.07 18.48
8 13.36 15.51 20.09
9 14.68 16.92 21.67
10 15.99 18.31 23.21
11 17.28 19.68 24.72
12 18.55 21.03 26.22
13 19.81 22.36 27.69
14 21.06 23.68 29.14
15 22.31 25.00 30.58
16 23.54 26.30 32.00
17 24.77 27.59 33.41
18 25.99 28.87 34.81
19 27.20 30.14 36.19
20 28.41 31.41 37.57
21 29.62 32.67 38.93
22 30.81 33.92 40.29
23 32.01 35.17 41.64
24 33.20 36.41 42.98
25 34.38 37.65 44.31
26 35.56 38.89 45.64
27 36.74 40.11 46.96
28 37.92 41.34 48.28
29 39.09 42.56 49.59
30 40.26 43.77 50.89
This table contains the 90th, 95th, and 99th percentiles of the x2 distribution. These serve as critical values for tests with significance
levels of 10%, 5%, and 1%.
