Below, the numbers in white are C2 or X2 numbers (Chi Squared) and these (O-E)2/E numbers added for all categories-1 show the probability at the top. Click here for an example and here to return back to that example.
Alternatively use a calculator as in QuickCalcs.
df |
0.10 1 in 10 |
0.05 1 in 20 |
0.025 1 in 40 |
0.01 1 in 100 |
0.001 1 in 1000 |
1 | 2.706 | 3.841 | 5.024 | 6.635 | 10.828 |
2 | 4.605 | 5.991 | 7.378 | 9.210 | 13.816 |
3 | 6.251 | 7.815 | 9.348 | 11.345 | 16.266 |
4 | 7.779 | 9.488 | 11.143 | 13.277 | 18.467 |
5 | 9.236 | 11.070 | 12.833 | 15.086 | 20.515 |
6 | 10.645 | 12.592 | 14.449 | 16.812 | 22.458 |
7 | 12.017 | 14.067 | 16.013 | 18.475 | 24.322 |
8 | 13.362 | 15.507 | 17.535 | 20.090 | 26.125 |
9 | 14.684 | 16.919 | 19.023 | 21.666 | 27.877 |
10 | 15.987 | 18.307 | 20.483 | 23.209 | 29.588 |
11 | 17.275 | 19.675 | 21.920 | 24.725 | 31.264 |
12 | 18.549 | 21.026 | 23.337 | 26.217 | 32.910 |
13 | 19.812 | 22.362 | 24.736 | 27.688 | 34.528 |
14 | 21.064 | 23.685 | 26.119 | 29.141 | 36.123 |
15 | 22.307 | 24.996 | 27.488 | 30.578 | 37.697 |
16 | 23.542 | 26.296 | 28.845 | 32.000 | 39.252 |
17 | 24.769 | 27.587 | 30.191 | 33.409 | 40.790 |
18 | 25.989 | 28.869 | 31.526 | 34.805 | 42.312 |
19 | 27.204 | 30.144 | 32.852 | 36.191 | 43.820 |
20 | 28.412 | 31.410 | 34.170 | 37.566 | 45.315 |
21 | 29.615 | 32.671 | 35.479 | 38.932 | 46.797 |
22 | 30.813 | 33.924 | 36.781 | 40.289 | 48.268 |
23 | 32.007 | 35.172 | 38.076 | 41.638 | 49.728 |
24 | 33.196 | 36.415 | 39.364 | 42.980 | 51.179 |
25 | 34.382 | 37.652 | 40.646 | 44.314 | 52.620 |
26 | 35.563 | 38.885 | 41.923 | 45.642 | 54.052 |
27 | 36.741 | 40.113 | 43.195 | 46.963 | 55.476 |
28 | 37.916 | 41.337 | 44.461 | 48.278 | 56.892 |
29 | 39.087 | 42.557 | 45.722 | 49.588 | 58.301 |
30 | 40.256 | 43.773 | 46.979 | 50.892 | 59.703 |
31 | 41.422 | 44.985 | 48.232 | 52.191 | 61.098 |
32 | 42.585 | 46.194 | 49.480 | 53.486 | 62.487 |
33 | 43.745 | 47.400 | 50.725 | 54.776 | 63.870 |
34 | 44.903 | 48.602 | 51.966 | 56.061 | 65.247 |
35 | 46.059 | 49.802 | 53.203 | 57.342 | 66.619 |
36 | 47.212 | 50.998 | 54.437 | 58.619 | 67.985 |
37 | 48.363 | 52.192 | 55.668 | 59.893 | 69.347 |
38 | 49.513 | 53.384 | 56.896 | 61.162 | 70.703 |
39 | 50.660 | 54.572 | 58.120 | 62.428 | 72.055 |
40 | 51.805 | 55.758 | 59.342 | 63.691 | 73.402 |
41 | 52.949 | 56.942 | 60.561 | 64.950 | 74.745 |
42 | 54.090 | 58.124 | 61.777 | 66.206 | 76.084 |
43 | 55.230 | 59.304 | 62.990 | 67.459 | 77.419 |
44 | 56.369 | 60.481 | 64.201 | 68.710 | 78.750 |
45 | 57.505 | 61.656 | 65.410 | 69.957 | 80.077 |
46 | 58.641 | 62.830 | 66.617 | 71.201 | 81.400 |
47 | 59.774 | 64.001 | 67.821 | 72.443 | 82.720 |
48 | 60.907 | 65.171 | 69.023 | 73.683 | 84.037 |
49 | 62.038 | 66.339 | 70.222 | 74.919 | 85.351 |
50 | 63.167 | 67.505 | 71.420 | 76.154 | 86.661 |
51 | 64.295 | 68.669 | 72.616 | 77.386 | 87.968 |
52 | 65.422 | 69.832 | 73.810 | 78.616 | 89.272 |
53 | 66.548 | 70.993 | 75.002 | 79.843 | 90.573 |
54 | 67.673 | 72.153 | 76.192 | 81.069 | 91.872 |
55 | 68.796 | 73.311 | 77.380 | 82.292 | 93.168 |
56 | 69.919 | 74.468 | 78.567 | 83.513 | 94.461 |
57 | 71.040 | 75.624 | 79.752 | 84.733 | 95.751 |
58 | 72.160 | 76.778 | 80.936 | 85.950 | 97.039 |
59 | 73.279 | 77.931 | 82.117 | 87.166 | 98.324 |
60 | 74.397 | 79.082 | 83.298 | 88.379 | 99.607 |
61 | 75.514 | 80.232 | 84.476 | 89.591 | 100.888 |
62 | 76.630 | 81.381 | 85.654 | 90.802 | 102.166 |
63 | 77.745 | 82.529 | 86.830 | 92.010 | 103.442 |
64 | 78.860 | 83.675 | 88.004 | 93.217 | 104.716 |
65 | 79.973 | 84.821 | 89.177 | 94.422 | 105.988 |
66 | 81.085 | 85.965 | 90.349 | 95.626 | 107.258 |
67 | 82.197 | 87.108 | 91.519 | 96.828 | 108.526 |
68 | 83.308 | 88.250 | 92.689 | 98.028 | 109.791 |
69 | 84.418 | 89.391 | 93.856 | 99.228 | 111.055 |
70 | 85.527 | 90.531 | 95.023 | 100.425 | 112.317 |
71 | 86.635 | 91.670 | 96.189 | 101.621 | 113.577 |
72 | 87.743 | 92.808 | 97.353 | 102.816 | 114.835 |
73 | 88.850 | 93.945 | 98.516 | 104.010 | 116.092 |
74 | 89.956 | 95.081 | 99.678 | 105.202 | 117.346 |
75 | 91.061 | 96.217 | 100.839 | 106.393 | 118.599 |
76 | 92.166 | 97.351 | 101.999 | 107.583 | 119.850 |
77 | 93.270 | 98.484 | 103.158 | 108.771 | 121.100 |
78 | 94.374 | 99.617 | 104.316 | 109.958 | 122.348 |
79 | 95.476 | 100.749 | 105.473 | 111.144 | 123.594 |
80 | 96.578 | 101.879 | 106.629 | 112.329 | 124.839 |
81 | 97.680 | 103.010 | 107.783 | 113.512 | 126.083 |
82 | 98.780 | 104.139 | 108.937 | 114.695 | 127.324 |
83 | 99.880 | 105.267 | 110.090 | 115.876 | 128.565 |
84 | 100.980 | 106.395 | 111.242 | 117.057 | 129.804 |
85 | 102.079 | 107.522 | 112.393 | 118.236 | 131.041 |
86 | 103.177 | 108.648 | 113.544 | 119.414 | 132.277 |
87 | 104.275 | 109.773 | 114.693 | 120.591 | 133.512 |
88 | 105.372 | 110.898 | 115.841 | 121.767 | 134.746 |
89 | 106.469 | 112.022 | 116.989 | 122.942 | 135.978 |
90 | 107.565 | 113.145 | 118.136 | 124.116 | 137.208 |
91 | 108.661 | 114.268 | 119.282 | 125.289 | 138.438 |
92 | 109.756 | 115.390 | 120.427 | 126.462 | 139.666 |
93 | 110.850 | 116.511 | 121.571 | 127.633 | 140.893 |
94 | 111.944 | 117.632 | 122.715 | 128.803 | 142.119 |
95 | 113.038 | 118.752 | 123.858 | 129.973 | 143.344 |
96 | 114.131 | 119.871 | 125.000 | 131.141 | 144.567 |
97 | 115.223 | 120.990 | 126.141 | 132.309 | 145.789 |
98 | 116.315 | 122.108 | 127.282 | 133.476 | 147.010 |
99 | 117.407 | 123.225 | 128.422 | 134.642 | 148.230 |
100 | 118.498 | 124.342 | 129.561 | 135.807 | 149.449 |