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Appendix
Table A.4. Critical values of x2 for v degrees of freedom
and selected levels of significance.
No. of Degrees Significance Level, a
of Freedom, v 0.20 0.10 0.05 0.025 0.01
1 1.64 2.71 3.84 5.02 6.63
2 3.22 4.61 5.99 7.38 9.21
3 4.64 6.2 5 7.81 9.35 11.34
4 5.99 7.78 9.49 11.14 13.28
5 7.29 9.24 11.07 12.83 15.09
6 8.56 10.64 12.59 14.45 16.81
7 9.80 12.02 14.07 16.01 18.48
8 11.03 13.36 15.51 17.53 20.09
9 12.24 14.68 16.92 19.02 21.67
10 13.44 15.99 18.31 20.48 23.21
11 14.63 17.28 19.68 21.92 24.72
12 15.81 18.55 2 1.03 23.34 26.22
13 16.98 19.81 22.36 24.74 27.69
14 18.15 21.06 23.68 26.12 29.14
15 19.31 22.31 25.00 2 7.49 30.58
16 20.47 23.54 26.30 28.85 32.00
17 21.61 24.77 27.59 30.19 33.41
18 22.76 25.99 28.87 31.53 34.81
19 23.90 27.20 30.14 32.85 36.19
20 25.04 28.41 31.41 34.17 37.57
21 26.17 29.62 32.67 35.48 38.93
22 27.30 30.81 33.92 36.78 40.29
23 28.43 32.01 35.17 38.08 41.64
24 29.55 33.20 36.42 39.36 42.98
25 30.68 34.38 37.65 40.65 44.31
26 31.79 35.56 38.89 41.92 45.64
27 32.91 36.74 40.11 43.19 46.96
28 34.03 37.92 41.34 44.46 48.28
29 35.14 39.09 42.56 45.72 49.59
30 36.25 40.26 43.77 46.98 50.89
40 47.27 51.81 55.76 59.34 63.69
50 58.16 63.17 67.50 71.42 76.15
60 68.97 74.40 79.08 83.30 88.38
(Con t in ued)
607