Distribución Chi-cuadrado
Nivel de confianza = 1 - a = 1 - nivel de significación * * * n = Grados de libertad
NC |
90% |
95% |
97,5% |
99% |
99,5% |
99,9% |
NC |
||||
1-a |
0,995 |
0,975 |
0,900 |
0,500 |
0,100 |
0,050 |
0,025 |
0,010 |
0,005 |
0,001 |
1-a |
n |
n |
||||||||||
1 |
0,000 |
0,000 |
0,016 |
0,455 |
2,706 |
3,841 |
5,024 |
6,635 |
7,879 |
10,828 |
1 |
2 |
0,010 |
0,051 |
0,211 |
1,386 |
4,605 |
5,991 |
7,378 |
9,210 |
10,597 |
13,816 |
2 |
3 |
0,072 |
0,216 |
0,584 |
2,366 |
6,251 |
7,815 |
9,348 |
11,345 |
12,838 |
16,266 |
3 |
4 |
0,207 |
0,484 |
1,064 |
3,357 |
7,779 |
9,488 |
11,143 |
13,277 |
14,860 |
18,467 |
4 |
5 |
0,412 |
0,831 |
1,610 |
4,351 |
9,236 |
11,070 |
12,832 |
15,086 |
16,750 |
20,515 |
5 |
6 |
0,676 |
1,237 |
2,204 |
5,348 |
10,645 |
12,592 |
14,449 |
16,812 |
18,548 |
22,458 |
6 |
7 |
0,989 |
1,690 |
2,833 |
6,346 |
12,017 |
14,067 |
16,013 |
18,475 |
20,278 |
24,322 |
7 |
8 |
1,344 |
2,180 |
3,490 |
7,344 |
13,362 |
15,507 |
17,535 |
20,090 |
21,955 |
26,124 |
8 |
9 |
1,735 |
2,700 |
4,168 |
8,343 |
14,684 |
16,919 |
19,023 |
21,666 |
23,589 |
27,877 |
9 |
10 |
2,156 |
3,247 |
4,865 |
9,342 |
15,987 |
18,307 |
20,483 |
23,209 |
25,188 |
29,588 |
10 |
11 |
2,603 |
3,816 |
5,578 |
10,341 |
17,275 |
19,675 |
21,920 |
24,725 |
26,757 |
31,264 |
11 |
12 |
3,074 |
4,404 |
6,304 |
11,340 |
18,549 |
21,026 |
23,337 |
26,217 |
28,300 |
32,910 |
12 |
13 |
3,565 |
5,009 |
7,042 |
12,340 |
19,812 |
22,362 |
24,736 |
27,688 |
29,819 |
34,528 |
13 |
14 |
4,075 |
5,629 |
7,790 |
13,339 |
21,064 |
23,685 |
26,119 |
29,141 |
31,319 |
36,123 |
14 |
15 |
4,601 |
6,262 |
8,547 |
14,339 |
22,307 |
24,996 |
27,488 |
30,578 |
32,801 |
37,697 |
15 |
16 |
5,142 |
6,908 |
9,312 |
15,338 |
23,542 |
26,296 |
28,845 |
32,000 |
34,267 |
39,252 |
16 |
17 |
5,697 |
7,564 |
10,085 |
16,338 |
24,769 |
27,587 |
30,191 |
33,409 |
35,718 |
40,790 |
17 |
18 |
6,265 |
8,231 |
10,865 |
17,338 |
25,989 |
28,869 |
31,526 |
34,805 |
37,156 |
42,312 |
18 |
19 |
6,844 |
8,907 |
11,651 |
18,338 |
27,204 |
30,144 |
32,852 |
36,191 |
38,582 |
43,820 |
19 |
20 |
7,434 |
9,591 |
12,443 |
19,337 |
28,412 |
31,410 |
34,170 |
37,566 |
39,997 |
45,315 |
20 |
21 |
8,034 |
10,283 |
13,240 |
20,337 |
29,615 |
32,670 |
35,479 |
38,932 |
41,401 |
46,797 |
21 |
22 |
8,643 |
10,982 |
14,042 |
21,337 |
30,813 |
33,924 |
36,781 |
40,289 |
42,796 |
48,268 |
22 |
23 |
9,260 |
11,688 |
14,848 |
22,337 |
32,007 |
35,172 |
38,076 |
41,638 |
44,181 |
49,728 |
23 |
24 |
9,886 |
12,401 |
15,659 |
23,337 |
33,196 |
36,415 |
39,364 |
42,980 |
45,558 |
51,179 |
24 |
25 |
10,520 |
13,120 |
16,473 |
24,337 |
34,382 |
37,652 |
40,646 |
44,314 |
46,928 |
52,620 |
25 |
26 |
11,160 |
13,844 |
17,292 |
25,336 |
35,563 |
38,885 |
41,923 |
45,642 |
48,290 |
54,052 |
26 |
27 |
11,808 |
14,573 |
18,114 |
26,336 |
36,741 |
40,113 |
43,194 |
46,963 |
49,645 |
55,476 |
27 |
28 |
12,461 |
15,308 |
18,939 |
27,336 |
37,916 |
41,337 |
44,461 |
48,278 |
50,993 |
56,892 |
28 |
29 |
13,121 |
16,047 |
19,768 |
28,336 |
39,088 |
42,557 |
45,722 |
49,588 |
52,336 |
58,301 |
29 |
30 |
13,787 |
16,791 |
20,599 |
29,336 |
40,256 |
43,773 |
46,979 |
50,892 |
53,672 |
59,703 |
30 |
31 |
14,458 |
17,539 |
21,434 |
30,336 |
41,422 |
44,985 |
48,232 |
52,191 |
55,003 |
61,098 |
31 |
32 |
15,134 |
18,291 |
22,271 |
31,336 |
42,585 |
46,194 |
49,480 |
53,486 |
56,329 |
62,487 |
32 |
33 |
15,815 |
19,047 |
23,110 |
32,336 |
43,745 |
47,400 |
50,725 |
54,776 |
57,649 |
63,870 |
33 |
34 |
16,501 |
19,806 |
23,952 |
33,336 |
44,903 |
48,602 |
51,966 |
56,061 |
58,964 |
65,247 |
34 |
35 |
17,192 |
20,569 |
24,797 |
34,336 |
46,059 |
49,802 |
53,203 |
57,342 |
60,275 |
66,619 |
35 |
36 |
17,887 |
21,336 |
25,643 |
35,336 |
47,212 |
50,998 |
54,437 |
58,619 |
61,582 |
67,985 |
36 |
37 |
18,586 |
22,106 |
26,492 |
36,335 |
48,363 |
52,192 |
55,668 |
59,892 |
62,884 |
69,346 |
37 |
38 |
19,289 |
22,878 |
27,343 |
37,335 |
49,513 |
53,384 |
56,896 |
61,162 |
64,182 |
70,703 |
38 |
39 |
19,996 |
23,654 |
28,196 |
38,335 |
50,660 |
54,572 |
58,120 |
62,428 |
65,476 |
72,055 |
39 |
40 |
20,707 |
24,433 |
29,051 |
39,335 |
51,805 |
55,758 |
59,342 |
63,691 |
66,766 |
73,402 |
40 |
41 |
21,421 |
25,215 |
29,907 |
40,335 |
52,949 |
56,942 |
60,561 |
64,950 |
68,053 |
74,745 |
41 |
42 |
22,138 |
25,999 |
30,765 |
41,335 |
54,090 |
58,124 |
61,777 |
66,206 |
69,336 |
76,084 |
42 |
43 |
22,859 |
26,785 |
31,625 |
42,335 |
55,230 |
59,304 |
62,990 |
67,459 |
70,616 |
77,419 |
43 |
44 |
23,584 |
27,575 |
32,487 |
43,335 |
56,369 |
60,481 |
64,202 |
68,710 |
71,893 |
78,750 |
44 |
45 |
24,311 |
28,366 |
33,350 |
44,335 |
57,505 |
61,656 |
65,410 |
69,957 |
73,166 |
80,077 |
45 |
46 |
25,042 |
29,160 |
34,215 |
45,335 |
58,641 |
62,830 |
66,617 |
71,201 |
74,437 |
81,400 |
46 |
47 |
25,775 |
29,956 |
35,081 |
46,335 |
59,774 |
64,001 |
67,821 |
72,443 |
75,704 |
82,720 |
47 |
48 |
26,511 |
30,755 |
35,949 |
47,335 |
60,907 |
65,171 |
69,023 |
73,683 |
76,969 |
84,037 |
48 |
49 |
27,249 |
31,555 |
36,818 |
48,335 |
62,038 |
66,339 |
70,222 |
74,919 |
78,231 |
85,351 |
49 |
50 |
27,991 |
32,357 |
37,689 |
49,335 |
63,167 |
67,505 |
71,420 |
76,154 |
79,490 |
86,661 |
50 |
51 |
28,735 |
33,162 |
38,560 |
50,335 |
64,295 |
68,669 |
72,616 |
77,386 |
80,747 |
87,968 |
51 |
52 |
29,481 |
33,968 |
39,433 |
51,335 |
65,422 |
69,832 |
73,810 |
78,616 |
82,001 |
89,272 |
52 |
53 |
30,230 |
34,776 |
40,308 |
52,335 |
66,548 |
70,993 |
75,002 |
79,843 |
83,253 |
90,573 |
53 |
54 |
30,981 |
35,586 |
41,183 |
53,335 |
67,673 |
72,153 |
76,192 |
81,069 |
84,502 |
91,872 |
54 |
55 |
31,735 |
36,398 |
42,060 |
54,335 |
68,796 |
73,311 |
77,380 |
82,292 |
85,749 |
93,168 |
55 |
56 |
32,490 |
37,212 |
42,937 |
55,335 |
69,918 |
74,468 |
78,567 |
83,513 |
86,994 |
94,460 |
56 |
57 |
33,248 |
38,027 |
43,816 |
56,335 |
71,040 |
75,624 |
79,752 |
84,733 |
88,237 |
95,751 |
57 |
58 |
34,008 |
38,844 |
44,696 |
57,335 |
72,160 |
76,778 |
80,936 |
85,950 |
89,477 |
97,039 |
58 |
59 |
34,770 |
39,662 |
45,577 |
58,335 |
73,279 |
77,931 |
82,117 |
87,166 |
90,715 |
98,324 |
59 |
60 |
35,534 |
40,482 |
46,459 |
59,335 |
74,397 |
79,082 |
83,298 |
88,379 |
91,952 |
99,607 |
60 |
61 |
36,300 |
41,303 |
47,342 |
60,335 |
75,514 |
80,232 |
84,476 |
89,591 |
93,186 |
100,888 |
61 |
62 |
37,068 |
42,126 |
48,226 |
61,335 |
76,630 |
81,381 |
85,654 |
90,802 |
94,419 |
102,166 |
62 |
63 |
37,838 |
42,950 |
49,111 |
62,335 |
77,745 |
82,529 |
86,830 |
92,010 |
95,649 |
103,442 |
63 |
64 |
38,610 |
43,776 |
49,996 |
63,335 |
78,860 |
83,675 |
88,004 |
93,217 |
96,878 |
104,716 |
64 |
65 |
39,383 |
44,603 |
50,883 |
64,335 |
79,973 |
84,821 |
89,177 |
94,422 |
98,105 |
105,988 |
65 |
66 |
40,158 |
45,431 |
51,770 |
65,335 |
81,085 |
85,965 |
90,349 |
95,626 |
99,331 |
107,258 |
66 |
67 |
40,935 |
46,261 |
52,659 |
66,335 |
82,197 |
87,108 |
91,519 |
96,828 |
100,550 |
108,526 |
67 |
68 |
41,713 |
47,092 |
53,548 |
67,334 |
83,308 |
88,250 |
92,689 |
98,028 |
101,780 |
109,791 |
68 |
69 |
42,494 |
47,924 |
54,438 |
68,334 |
84,418 |
89,391 |
93,856 |
99,228 |
103,000 |
111,055 |
69 |
70 |
43,275 |
48,758 |
55,329 |
69,334 |
85,527 |
90,531 |
95,023 |
100,430 |
104,210 |
112,317 |
70 |
71 |
44,058 |
49,592 |
56,221 |
70,334 |
86,635 |
91,670 |
96,189 |
101,620 |
105,430 |
113,577 |
71 |
72 |
44,843 |
50,428 |
57,113 |
71,334 |
87,743 |
92,808 |
97,353 |
102,820 |
106,650 |
114,835 |
72 |
73 |
45,629 |
51,265 |
58,006 |
72,334 |
88,850 |
93,945 |
98,516 |
104,010 |
107,860 |
116,092 |
73 |
74 |
46,417 |
52,103 |
58,900 |
73,334 |
89,956 |
95,081 |
99,678 |
105,200 |
109,070 |
117,346 |
74 |
75 |
47,206 |
52,942 |
59,795 |
74,334 |
91,061 |
96,217 |
100,840 |
106,390 |
110,290 |
118,599 |
75 |
76 |
47,997 |
53,782 |
60,690 |
75,334 |
92,166 |
97,351 |
102,000 |
107,580 |
111,500 |
119,850 |
76 |
77 |
48,788 |
54,623 |
61,586 |
76,334 |
93,270 |
98,484 |
103,160 |
108,770 |
112,700 |
121,100 |
77 |
78 |
49,582 |
55,466 |
62,483 |
77,334 |
94,373 |
99,617 |
104,320 |
109,960 |
113,910 |
122,348 |
78 |
79 |
50,376 |
56,309 |
63,380 |
78,334 |
95,476 |
100,750 |
105,470 |
111,140 |
115,120 |
123,594 |
79 |
80 |
51,172 |
57,153 |
64,278 |
79,334 |
96,578 |
101,880 |
106,630 |
112,330 |
116,320 |
124,839 |
80 |
81 |
51,969 |
57,998 |
65,176 |
80,334 |
97,680 |
103,010 |
107,780 |
113,510 |
117,520 |
126,082 |
81 |
82 |
52,767 |
58,845 |
66,076 |
81,334 |
98,780 |
104,140 |
108,940 |
114,690 |
118,730 |
127,324 |
82 |
83 |
53,567 |
59,692 |
66,976 |
82,334 |
99,880 |
105,270 |
110,090 |
115,880 |
119,930 |
128,565 |
83 |
84 |
54,368 |
60,540 |
67,876 |
83,334 |
100,980 |
106,390 |
111,240 |
117,060 |
121,130 |
129,804 |
84 |
85 |
55,170 |
61,389 |
68,777 |
84,334 |
102,080 |
107,520 |
112,390 |
118,240 |
122,320 |
131,041 |
85 |
86 |
55,973 |
62,239 |
69,679 |
85,334 |
103,180 |
108,650 |
113,540 |
119,410 |
123,520 |
132,277 |
86 |
87 |
56,777 |
63,089 |
70,581 |
86,334 |
104,280 |
109,770 |
114,690 |
120,590 |
124,720 |
133,512 |
87 |
88 |
57,582 |
63,941 |
71,484 |
87,334 |
105,370 |
110,900 |
115,840 |
121,770 |
125,910 |
134,745 |
88 |
89 |
58,389 |
64,793 |
72,387 |
88,334 |
106,470 |
112,020 |
116,990 |
122,940 |
127,110 |
135,978 |
89 |
90 |
59,196 |
65,647 |
73,291 |
89,334 |
107,560 |
113,150 |
118,140 |
124,120 |
128,300 |
137,208 |
90 |
91 |
60,005 |
66,501 |
74,196 |
90,334 |
108,660 |
114,270 |
119,280 |
125,290 |
129,490 |
138,438 |
91 |
92 |
60,815 |
67,356 |
75,101 |
91,334 |
109,760 |
115,390 |
120,430 |
126,460 |
130,680 |
139,666 |
92 |
93 |
61,625 |
68,211 |
76,006 |
92,334 |
110,850 |
116,510 |
121,570 |
127,630 |
131,870 |
140,893 |
93 |
94 |
62,437 |
69,068 |
76,912 |
93,334 |
111,940 |
117,630 |
122,720 |
128,800 |
133,060 |
142,119 |
94 |
95 |
63,250 |
69,925 |
77,818 |
94,334 |
113,040 |
118,750 |
123,860 |
129,970 |
134,250 |
143,344 |
95 |
96 |
64,063 |
70,783 |
78,725 |
95,334 |
114,130 |
119,870 |
125,000 |
131,140 |
135,430 |
144,567 |
96 |
97 |
64,878 |
71,642 |
79,633 |
96,334 |
115,220 |
120,990 |
126,140 |
132,310 |
136,620 |
145,789 |
97 |
98 |
65,694 |
72,501 |
80,541 |
97,334 |
116,320 |
122,110 |
127,280 |
133,480 |
137,800 |
147,010 |
98 |
99 |
66,510 |
73,361 |
81,449 |
98,334 |
117,410 |
123,230 |
128,420 |
134,640 |
138,990 |
148,230 |
99 |
100 |
67,328 |
74,222 |
82,358 |
99,334 |
118,500 |
124,340 |
129,560 |
135,810 |
140,170 |
149,449 |
100 |
Fuente: Desarrollada con Excel © Microsoft Corp.