tablica chi^2, rachunek prawdopodobieństwa i statystyka matematyczna
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poziom
istotno
Ś
ci
l.ss
1
0,99
0,975
0,95
0,9
0,8
0,7
0,6
0,5
0,4
0,3
0,2
0,1
0,05
0,025
0,01
0,005
0,000
0,001
0,004
0,016
0,064
0,148
0,275
0,455
0,708
1,074
1,642
2,706
3,841
5,024
6,635
5,024
2
0,020
0,051
0,103
0,211
0,446
0,713
1,022
1,386
1,833
2,408
3,219
4,605
5,991
7,378
9,210
7,378
3
0,115
0,216
0,352
0,584
1,005
1,424
1,869
2,366
2,946
3,665
4,642
6,251
7,815
9,348
11,345
9,348
4
0,297
0,484
0,711
1,064
1,649
2,195
2,753
3,357
4,045
4,878
5,989
7,779
9,488
11,143
13,277
11,143
5
0,554
0,831
1,145
1,610
2,343
3,000
3,655
4,351
5,132
6,064
7,289
9,236
11,070
12,833
15,086
12,833
6
0,872
1,237
1,635
2,204
3,070
3,828
4,570
5,348
6,211
7,231
8,558
10,645
12,592
14,449
16,812
14,449
7
1,239
1,690
2,167
2,833
3,822
4,671
5,493
6,346
7,283
8,383
9,803
12,017
14,067
16,013
18,475
16,013
8
1,646
2,180
2,733
3,490
4,594
5,527
6,423
7,344
8,351
9,524
11,030
13,362
15,507
17,535
20,090
17,535
9
2,088
2,700
3,325
4,168
5,380
6,393
7,357
8,343
9,414
10,656
12,242
14,684
16,919
19,023
21,666
19,023
10
2,558
3,247
3,940
4,865
6,179
7,267
8,295
9,342
10,473
11,781
13,442
15,987
18,307
20,483
23,209
20,483
11
3,053
3,816
4,575
5,578
6,989
8,148
9,237
10,341
11,530
12,899
14,631
17,275
19,675
21,920
24,725
21,920
12
3,571
4,404
5,226
6,304
7,807
9,034
10,182
11,340
12,584
14,011
15,812
18,549
21,026
23,337
26,217
23,337
13
4,107
5,009
5,892
7,042
8,634
9,926
11,129
12,340
13,636
15,119
16,985
19,812
22,362
24,736
27,688
24,736
14
4,660
5,629
6,571
7,790
9,467
10,821
12,078
13,339
14,685
16,222
18,151
21,064
23,685
26,119
29,141
26,119
15
5,229
6,262
7,261
8,547
10,307
11,721
13,030
14,339
15,733
17,322
19,311
22,307
24,996
27,488
30,578
27,488
16
5,812
6,908
7,962
9,312
11,152
12,624
13,983
15,338
16,780
18,418
20,465
23,542
26,296
28,845
32,000
28,845
17
6,408
7,564
8,672
10,085
12,002
13,531
14,937
16,338
17,824
19,511
21,615
24,769
27,587
30,191
33,409
30,191
18
7,015
8,231
9,390
10,865
12,857
14,440
15,893
17,338
18,868
20,601
22,760
25,989
28,869
31,526
34,805
31,526
18
7,015
8,231
9,390
10,865
12,857
14,440
15,893
17,338
18,868
20,601
22,760
25,989
28,869
31,526
34,805
31,526
19
7,633
8,907
10,117
11,651
13,716
15,352
16,850
18,338
19,910
21,689
23,900
27,204
30,144
32,852
36,191
32,852
20
8,260
9,591
10,851
12,443
14,578
16,266
17,809
19,337
20,951
22,775
25,038
28,412
31,410
34,170
37,566
34,170
21
8,897
10,283
11,591
13,240
15,445
17,182
18,768
20,337
21,991
23,858
26,171
29,615
32,671
35,479
38,932
35,479
22
9,542
10,982
12,338
14,041
16,314
18,101
19,729
21,337
23,031
24,939
27,301
30,813
33,924
36,781
40,289
36,781
23
10,196
11,689
13,091
14,848
17,187
19,021
20,690
22,337
24,069
26,018
28,429
32,007
35,172
38,076
41,638
38,076
24
10,856
12,401
13,848
15,659
18,062
19,943
21,652
23,337
25,106
27,096
29,553
33,196
36,415
39,364
42,980
39,364
25
11,524
13,120
14,611
16,473
18,940
20,867
22,616
24,337
26,143
28,172
30,675
34,382
37,652
40,646
44,314
40,646
26
12,198
13,844
15,379
17,292
19,820
21,792
23,579
25,336
27,179
29,246
31,795
35,563
38,885
41,923
45,642
41,923
27
12,879
14,573
16,151
18,114
20,703
22,719
24,544
26,336
28,214
30,319
32,912
36,741
40,113
43,195
46,963
43,195
28
13,565
15,308
16,928
18,939
21,588
23,647
25,509
27,336
29,249
31,391
34,027
37,916
41,337
44,461
48,278
44,461
29
14,256
16,047
17,708
19,768
22,475
24,577
26,475
28,336
30,283
32,461
35,139
39,087
42,557
45,722
49,588
45,722
30
14,953
16,791
18,493
20,599
23,364
25,508
27,442
29,336
31,316
33,530
36,250
40,256
43,773
46,979
50,892
46,979
31
15,655
17,539
19,281
21,434
24,255
26,440
28,409
30,336
32,349
34,598
37,359
41,422
44,985
48,232
52,191
48,232
32
16,362
18,291
20,072
22,271
25,148
27,373
29,376
31,336
33,381
35,665
38,466
42,585
46,194
49,480
53,486
49,480
33
17,074
19,047
20,867
23,110
26,042
28,307
30,344
32,336
34,413
36,731
39,572
43,745
47,400
50,725
54,776
50,725
34
17,789
19,806
21,664
23,952
26,938
29,242
31,313
33,336
35,444
37,795
40,676
44,903
48,602
51,966
56,061
51,966
35
18,509
20,569
22,465
24,797
27,836
30,178
32,282
34,336
36,475
38,859
41,778
46,059
49,802
53,203
57,342
53,203
36
19,233
21,336
23,269
25,643
28,735
31,115
33,252
35,336
37,505
39,922
42,879
47,212
50,998
54,437
58,619
54,437
37
19,960
22,106
24,075
26,492
29,635
32,053
34,222
36,336
38,535
40,984
43,978
48,363
52,192
55,668
59,893
55,668
37
19,960
22,106
24,075
26,492
29,635
32,053
34,222
36,336
38,535
40,984
43,978
48,363
52,192
55,668
59,893
55,668
38
20,691
22,878
24,884
27,343
30,537
32,992
35,192
37,335
39,564
42,045
45,076
49,513
53,384
56,896
61,162
56,896
39
21,426
23,654
25,695
28,196
31,441
33,932
36,163
38,335
40,593
43,105
46,173
50,660
54,572
58,120
62,428
58,120
40
22,164
24,433
26,509
29,051
32,345
34,872
37,134
39,335
41,622
44,165
47,269
51,805
55,758
59,342
63,691
59,342
41
22,906
25,215
27,326
29,907
33,251
35,813
38,105
40,335
42,651
45,224
48,363
52,949
56,942
60,561
64,950
60,561
42
23,650
25,999
28,144
30,765
34,157
36,755
39,077
41,335
43,679
46,282
49,456
54,090
58,124
61,777
66,206
61,777
43
24,398
26,785
28,965
31,625
35,065
37,698
40,050
42,335
44,706
47,339
50,548
55,230
59,304
62,990
67,459
62,990
44
25,148
27,575
29,787
32,487
35,974
38,641
41,022
43,335
45,734
48,396
51,639
56,369
60,481
64,201
68,710
64,201
45
25,901
28,366
30,612
33,350
36,884
39,585
41,995
44,335
46,761
49,452
52,729
57,505
61,656
65,410
69,957
65,410
46
26,657
29,160
31,439
34,215
37,795
40,529
42,968
45,335
47,787
50,507
53,818
58,641
62,830
66,617
71,201
66,617
47
27,416
29,956
32,268
35,081
38,708
41,474
43,942
46,335
48,814
51,562
54,906
59,774
64,001
67,821
72,443
67,821
48
28,177
30,755
33,098
35,949
39,621
42,420
44,915
47,335
49,840
52,616
55,993
60,907
65,171
69,023
73,683
69,023
49
28,941
31,555
33,930
36,818
40,534
43,366
45,889
48,335
50,866
53,670
57,079
62,038
66,339
70,222
74,919
70,222
50
29,707
32,357
34,764
37,689
41,449
44,313
46,864
49,335
51,892
54,723
58,164
63,167
67,505
71,420
76,154
71,420
0,99
0,975
0,95
0,9
0,8
0,7
0,6
0,5
0,4
0,3
0,2
0,1
0,05
0,025
0,01
0,005
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