Appendix E: Chi-Square Table
Critical Values for Chi-Square ( Table)
df |
Proportion in Critical Region |
||||
.1 |
.05 |
.02 |
.01 |
.005 |
|
1 |
2.706 |
3.841 |
5.024 |
6.635 |
7.879 |
2 |
4.605 |
5.991 |
7.378 |
9.210 |
10.597 |
3 |
6.251 |
7.815 |
9.348 |
11.345 |
12.838 |
4 |
7.779 |
9.488 |
11.143 |
13.277 |
14.860 |
5 |
9.236 |
11.070 |
12.833 |
15.086 |
16.750 |
6 |
10.645 |
12.592 |
14.449 |
16.812 |
18.548 |
7 |
12.017 |
14.067 |
16.013 |
18.475 |
20.278 |
8 |
13.362 |
15.507 |
17.535 |
20.090 |
21.955 |
9 |
14.684 |
16.919 |
19.023 |
21.666 |
23.589 |
10 |
15.987 |
18.307 |
20.483 |
23.209 |
25.188 |
11 |
17.275 |
19.675 |
21.920 |
24.725 |
26.757 |
12 |
18.549 |
21.026 |
23.337 |
26.217 |
28.300 |
13 |
19.812 |
22.362 |
24.736 |
27.688 |
29.819 |
14 |
21.064 |
23.685 |
26.119 |
29.141 |
31.319 |
15 |
22.307 |
24.996 |
27.488 |
30.578 |
32.801 |
16 |
23.542 |
26.296 |
28.845 |
32.000 |
34.267 |
17 |
24.769 |
27.587 |
30.191 |
33.409 |
35.718 |
18 |
25.989 |
28.869 |
31.526 |
34.805 |
37.156 |
19 |
27.204 |
30.144 |
32.852 |
36.191 |
38.582 |
20 |
28.412 |
31.410 |
34.170 |
37.566 |
39.997 |
21 |
29.615 |
32.671 |
35.479 |
38.932 |
41.401 |
22 |
30.813 |
33.924 |
36.781 |
40.289 |
42.796 |
23 |
32.007 |
35.172 |
38.076 |
41.638 |
44.181 |
24 |
33.196 |
36.415 |
39.364 |
42.980 |
45.559 |
25 |
34.382 |
37.652 |
40.646 |
44.314 |
46.928 |
26 |
35.563 |
38.885 |
41.923 |
45.642 |
48.290 |
27 |
36.741 |
40.113 |
43.195 |
46.963 |
49.645 |
28 |
37.916 |
41.337 |
44.461 |
48.278 |
50.993 |
29 |
39.087 |
42.557 |
45.722 |
49.588 |
52.336 |
30 |
40.256 |
43.773 |
46.979 |
50.892 |
53.672 |
40 |
51.805 |
55.758 |
59.342 |
63.691 |
66.766 |
50 |
63.167 |
67.505 |
71.420 |
76.154 |
79.490 |
60 |
74.397 |
79.082 |
83.298 |
88.379 |
91.952 |
70 |
85.527 |
90.531 |
95.023 |
100.425 |
104.215 |
80 |
96.578 |
101.879 |
106.629 |
112.329 |
116.321 |
90 |
107.565 |
113.145 |
118.136 |
124.116 |
128.299 |
100 |
118.498 |
124.342 |
129.561 |
135.807 |
140.169 |
Adapted from Appendix A, Statistical Tables in Introductory Business Statistics/OpenStax. CC BY 4.0.