Chi-Square Critical Values Calculator

Given α = 0.05, with 10 degrees of freedom,

Calculate the right-tailed and left-tailed critical value for Χ²

Calculate right-tailed value:

Since α = 0.05, the area under the curve is 1 - α → 1 - 0.05 = 0.95

Our critical Χ² value is 3.9403

Excel or Google Sheets formula:

Excel or Google Sheets formula:=CHIINV(0.95,10)

Calculate left-tailed value:

Our critical Χ²-value = 18.307

Excel or Google Sheets formula:

Excel or Google Sheets formula:=CHIINV(0.05,10)

Critical Values Table:

α	Degrees of Freedom	Probability (Area under Curve)
0.01	1	6.6349
0.01	2	9.2103
0.01	3	11.3449
0.01	4	13.2767
0.01	5	15.0863
0.01	6	16.8119
0.01	7	18.4753
0.01	8	20.0902
0.01	9	21.666
0.01	10	23.2093
0.01	11	24.725
0.01	12	26.217
0.01	13	27.6882
0.01	14	29.1412
0.01	15	30.5779
0.01	16	31.9999
0.01	17	33.4087
0.01	18	34.8053
0.01	19	36.1909
0.01	20	37.5662
0.01	21	38.9322
0.01	22	40.2894
0.01	23	41.6384
0.01	24	42.9798
0.01	25	44.3141
0.01	26	45.6417
0.01	27	46.9629
0.01	28	48.2782
0.01	29	49.5879
0.01	30	50.8922
0.02	1	5.4119
0.02	2	7.824
0.02	3	9.8374
0.02	4	11.6678
0.02	5	13.3882
0.02	6	15.0332
0.02	7	16.6224
0.02	8	18.1682
0.02	9	19.679
0.02	10	21.1608
0.02	11	22.6179
0.02	12	24.054
0.02	13	25.4715
0.02	14	26.8728
0.02	15	28.2595
0.02	16	29.6332
0.02	17	30.995
0.02	18	32.3462
0.02	19	33.6874
0.02	20	35.0196
0.02	21	36.3434
0.02	22	37.6595
0.02	23	38.9683
0.02	24	40.2704
0.02	25	41.5661
0.02	26	42.8558
0.02	27	44.14
0.02	28	45.4188
0.02	29	46.6927
0.02	30	47.9618
0.03	1	4.7093
0.03	2	7.0131
0.03	3	8.9473
0.03	4	10.7119
0.03	5	12.3746
0.03	6	13.9676
0.03	7	15.5091
0.03	8	17.0105
0.03	9	18.4796
0.03	10	19.9219
0.03	11	21.3416
0.03	12	22.7418
0.03	13	24.1249
0.03	14	25.4931
0.03	15	26.8479
0.03	16	28.1907
0.03	17	29.5227
0.03	18	30.8447
0.03	19	32.1577
0.03	20	33.4624
0.03	21	34.7593
0.03	22	36.0492
0.03	23	37.3323
0.03	24	38.6093
0.03	25	39.8804
0.03	26	41.146
0.03	27	42.4066
0.03	28	43.6622
0.03	29	44.9132
0.03	30	46.1599
0.04	1	4.2179
0.04	2	6.4378
0.04	3	8.3112
0.04	4	10.0255
0.04	5	11.6443
0.04	6	13.1978
0.04	7	14.703
0.04	8	16.1708
0.04	9	17.6083
0.04	10	19.0207
0.04	11	20.412
0.04	12	21.7851
0.04	13	23.1423
0.04	14	24.4855
0.04	15	25.8162
0.04	16	27.1356
0.04	17	28.445
0.04	18	29.7451
0.04	19	31.0367
0.04	20	32.3206
0.04	21	33.5972
0.04	22	34.8673
0.04	23	36.1311
0.04	24	37.3891
0.04	25	38.6416
0.04	26	39.8891
0.04	27	41.1318
0.04	28	42.3699
0.04	29	43.6038
0.04	30	44.8336
0.05	1	3.8415
0.05	2	5.9915
0.05	3	7.8147
0.05	4	9.4877
0.05	5	11.0705
0.05	6	12.5916
0.05	7	14.0671
0.05	8	15.5073
0.05	9	16.919
0.05	10	18.307
0.05	11	19.6751
0.05	12	21.0261
0.05	13	22.362
0.05	14	23.6848
0.05	15	24.9958
0.05	16	26.2962
0.05	17	27.5871
0.05	18	28.8693
0.05	19	30.1435
0.05	20	31.4104
0.05	21	32.6706
0.05	22	33.9244
0.05	23	35.1725
0.05	24	36.415
0.05	25	37.6525
0.05	26	38.8851
0.05	27	40.1133
0.05	28	41.3371
0.05	29	42.557
0.05	30	43.773
0.06	1	3.5374
0.06	2	5.6268
0.06	3	7.4069
0.06	4	9.0444
0.06	5	10.5962
0.06	6	12.0896
0.06	7	13.5397
0.06	8	14.9563
0.06	9	16.3459
0.06	10	17.7131
0.06	11	19.0614
0.06	12	20.3934
0.06	13	21.7113
0.06	14	23.0166
0.06	15	24.3108
0.06	16	25.595
0.06	17	26.8701
0.06	18	28.137
0.06	19	29.3964
0.06	20	30.6489
0.06	21	31.8949
0.06	22	33.135
0.06	23	34.3696
0.06	24	35.599
0.06	25	36.8235
0.06	26	38.0435
0.06	27	39.2593
0.06	28	40.471
0.06	29	41.6789
0.06	30	42.8831
0.07	1	3.283
0.07	2	5.3185
0.07	3	7.0603
0.07	4	8.6664
0.07	5	10.191
0.07	6	11.6599
0.07	7	13.0877
0.07	8	14.4836
0.07	9	15.8537
0.07	10	17.2026
0.07	11	18.5334
0.07	12	19.8488
0.07	13	21.1507
0.07	14	22.4408
0.07	15	23.7202
0.07	16	24.9901
0.07	17	26.2514
0.07	18	27.5049
0.07	19	28.7512
0.07	20	29.991
0.07	21	31.2246
0.07	22	32.4526
0.07	23	33.6754
0.07	24	34.8932
0.07	25	36.1065
0.07	26	37.3154
0.07	27	38.5202
0.07	28	39.7213
0.07	29	40.9187
0.07	30	42.1126
0.08	1	3.0649
0.08	2	5.0515
0.08	3	6.7587
0.08	4	8.3365
0.08	5	9.8366
0.08	6	11.2835
0.08	7	12.6912
0.08	8	14.0684
0.08	9	15.4211
0.08	10	16.7535
0.08	11	18.0687
0.08	12	19.3692
0.08	13	20.6568
0.08	14	21.9331
0.08	15	23.1993
0.08	16	24.4564
0.08	17	25.7053
0.08	18	26.9467
0.08	19	28.1814
0.08	20	29.4097
0.08	21	30.6322
0.08	22	31.8494
0.08	23	33.0616
0.08	24	34.269
0.08	25	35.4721
0.08	26	36.6711
0.08	27	37.8662
0.08	28	39.0577
0.08	29	40.2456
0.08	30	41.4304
0.09	1	2.8744
0.09	2	4.8159
0.09	3	6.4915
0.09	4	8.0434
0.09	5	9.5211
0.09	6	10.9479
0.09	7	12.3372
0.09	8	13.6975
0.09	9	15.0342
0.09	10	16.3516
0.09	11	17.6526
0.09	12	18.9395
0.09	13	20.214
0.09	14	21.4778
0.09	15	22.7319
0.09	16	23.9774
0.09	17	25.215
0.09	18	26.4455
0.09	19	27.6694
0.09	20	28.8874
0.09	21	30.0998
0.09	22	31.3071
0.09	23	32.5096
0.09	24	33.7077
0.09	25	34.9015
0.09	26	36.0915
0.09	27	37.2777
0.09	28	38.4604
0.09	29	39.6398
0.09	30	40.8161
0.10	1	2.7055
0.10	2	4.6052
0.10	3	6.2514
0.10	4	7.7794
0.10	5	9.2364
0.10	6	10.6446
0.10	7	12.017
0.10	8	13.3616
0.10	9	14.6837
0.10	10	15.9872
0.10	11	17.275
0.10	12	18.5493
0.10	13	19.8119
0.10	14	21.0641
0.10	15	22.3071
0.10	16	23.5418
0.10	17	24.769
0.10	18	25.9894
0.10	19	27.2036
0.10	20	28.412
0.10	21	29.6151
0.10	22	30.8133
0.10	23	32.0069
0.10	24	33.1962
0.10	25	34.3816
0.10	26	35.5632
0.10	27	36.7412
0.10	28	37.9159
0.10	29	39.0875
0.10	30	40.256
0.11	1	2.5542
0.11	2	4.4145
0.11	3	6.0333
0.11	4	7.539
0.11	5	8.9766
0.11	6	10.3676
0.11	7	11.7242
0.11	8	13.0542
0.11	9	14.3626
0.11	10	15.6532
0.11	11	16.9288
0.11	12	18.1914
0.11	13	19.4428
0.11	14	20.6843
0.11	15	21.917
0.11	16	23.1417
0.11	17	24.3592
0.11	18	25.5702
0.11	19	26.7752
0.11	20	27.9747
0.11	21	29.1691
0.11	22	30.3589
0.11	23	31.5442
0.11	24	32.7255
0.11	25	33.9029
0.11	26	35.0767
0.11	27	36.2471
0.11	28	37.4144
0.11	29	38.5786
0.11	30	39.74
0.12	1	2.4173
0.12	2	4.2405
0.12	3	5.8335
0.12	4	7.3182
0.12	5	8.7376
0.12	6	10.1123
0.12	7	11.4541
0.12	8	12.7703
0.12	9	14.0659
0.12	10	15.3444
0.12	11	16.6085
0.12	12	17.8603
0.12	13	19.1012
0.12	14	20.3326
0.12	15	21.5555
0.12	16	22.7708
0.12	17	23.9792
0.12	18	25.1814
0.12	19	26.3779
0.12	20	27.569
0.12	21	28.7554
0.12	22	29.9372
0.12	23	31.1147
0.12	24	32.2884
0.12	25	33.4584
0.12	26	34.625
0.12	27	35.7883
0.12	28	36.9485
0.12	29	38.1059
0.12	30	39.2605
0.13	1	2.2925
0.13	2	4.0804
0.13	3	5.6489
0.13	4	7.1137
0.13	5	8.5159
0.13	6	9.8754
0.13	7	11.2031
0.13	8	12.5064
0.13	9	13.7898
0.13	10	15.0569
0.13	11	16.3102
0.13	12	17.5516
0.13	13	18.7826
0.13	14	20.0045
0.13	15	21.2182
0.13	16	22.4247
0.13	17	23.6246
0.13	18	24.8184
0.13	19	26.0068
0.13	20	27.1901
0.13	21	28.3687
0.13	22	29.5431
0.13	23	30.7133
0.13	24	31.8799
0.13	25	33.0429
0.13	26	34.2026
0.13	27	35.3591
0.13	28	36.5128
0.13	29	37.6636
0.13	30	38.8118
0.14	1	2.178
0.14	2	3.9322
0.14	3	5.4773
0.14	4	6.9233
0.14	5	8.3092
0.14	6	9.654
0.14	7	10.9685
0.14	8	12.2594
0.14	9	13.5313
0.14	10	14.7876
0.14	11	16.0306
0.14	12	17.2621
0.14	13	18.4838
0.14	14	19.6966
0.14	15	20.9017
0.14	16	22.0997
0.14	17	23.2915
0.14	18	24.4774
0.14	19	25.6581
0.14	20	26.834
0.14	21	28.0053
0.14	22	29.1726
0.14	23	30.3359
0.14	24	31.4956
0.14	25	32.652
0.14	26	33.8052
0.14	27	34.9554
0.14	28	36.1027
0.14	29	37.2475
0.14	30	38.3896
0.15	1	2.0723
0.15	2	3.7942
0.15	3	5.317
0.15	4	6.7449
0.15	5	8.1152
0.15	6	9.4461
0.15	7	10.7479
0.15	8	12.0271
0.15	9	13.288
0.15	10	14.5339
0.15	11	15.7671
0.15	12	16.9893
0.15	13	18.202
0.15	14	19.4062
0.15	15	20.603
0.15	16	21.7931
0.15	17	22.977
0.15	18	24.1555
0.15	19	25.3289
0.15	20	26.4976
0.15	21	27.662
0.15	22	28.8225
0.15	23	29.9792
0.15	24	31.1325
0.15	25	32.2825
0.15	26	33.4295
0.15	27	34.5736
0.15	28	35.715
0.15	29	36.8538
0.15	30	37.9903
0.16	1	1.9742
0.16	2	3.6652
0.16	3	5.1665
0.16	4	6.577
0.16	5	7.9324
0.16	6	9.25
0.16	7	10.5396
0.16	8	11.8075
0.16	9	13.058
0.16	10	14.294
0.16	11	15.5177
0.16	12	16.731
0.16	13	17.9351
0.16	14	19.1311
0.16	15	20.3199
0.16	16	21.5023
0.16	17	22.6789
0.16	18	23.8501
0.16	19	25.0165
0.16	20	26.1784
0.16	21	27.3362
0.16	22	28.4902
0.16	23	29.6406
0.16	24	30.7877
0.16	25	31.9316
0.16	26	33.0727
0.16	27	34.211
0.16	28	35.3467
0.16	29	36.4799
0.16	30	37.6108
0.17	1	1.8829
0.17	2	3.5439
0.17	3	5.0247
0.17	4	6.4185
0.17	5	7.7595
0.17	6	9.0642
0.17	7	10.3421
0.17	8	11.5992
0.17	9	12.8396
0.17	10	14.0661
0.17	11	15.2808
0.17	12	16.4854
0.17	13	17.6813
0.17	14	18.8694
0.17	15	20.0506
0.17	16	21.2256
0.17	17	22.395
0.17	18	23.5594
0.17	19	24.719
0.17	20	25.8744
0.17	21	27.0258
0.17	22	28.1736
0.17	23	29.3179
0.17	24	30.459
0.17	25	31.5972
0.17	26	32.7325
0.17	27	33.8652
0.17	28	34.9954
0.17	29	36.1233
0.17	30	37.2489
0.18	1	1.7976
0.18	2	3.4296
0.18	3	4.8904
0.18	4	6.2681
0.18	5	7.5952
0.18	6	8.8876
0.18	7	10.1542
0.18	8	11.4009
0.18	9	12.6315
0.18	10	13.8488
0.18	11	15.0548
0.18	12	16.2512
0.18	13	17.4391
0.18	14	18.6196
0.18	15	19.7935
0.18	16	20.9614
0.18	17	22.1239
0.18	18	23.2816
0.18	19	24.4348
0.18	20	25.5838
0.18	21	26.7291
0.18	22	27.8709
0.18	23	29.0094
0.18	24	30.1448
0.18	25	31.2773
0.18	26	32.4072
0.18	27	33.5345
0.18	28	34.6594
0.18	29	35.7821
0.18	30	36.9026
0.19	1	1.7176
0.19	2	3.3215
0.19	3	4.763
0.19	4	6.1251
0.19	5	7.4388
0.19	6	8.7191
0.19	7	9.9749
0.19	8	11.2115
0.19	9	12.4327
0.19	10	13.6411
0.19	11	14.8387
0.19	12	16.0271
0.19	13	17.2073
0.19	14	18.3804
0.19	15	19.5472
0.19	16	20.7082
0.19	17	21.8642
0.19	18	23.0154
0.19	19	24.1623
0.19	20	25.3053
0.19	21	26.4446
0.19	22	27.5806
0.19	23	28.7134
0.19	24	29.8433
0.19	25	30.9704
0.19	26	32.095
0.19	27	33.2171
0.19	28	34.3369
0.19	29	35.4546
0.19	30	36.5702
0.20	1	1.6424
0.20	2	3.2189
0.20	3	4.6416
0.20	4	5.9886
0.20	5	7.2893
0.20	6	8.5581
0.20	7	9.8032
0.20	8	11.0301
0.20	9	12.2421
0.20	10	13.442
0.20	11	14.6314
0.20	12	15.812
0.20	13	16.9848
0.20	14	18.1508
0.20	15	19.3107
0.20	16	20.4651
0.20	17	21.6146
0.20	18	22.7595
0.20	19	23.9004
0.20	20	25.0375
0.20	21	26.1711
0.20	22	27.3015
0.20	23	28.4288
0.20	24	29.5533
0.20	25	30.6752
0.20	26	31.7946
0.20	27	32.9117
0.20	28	34.0266
0.20	29	35.1394
0.20	30	36.2502
0.21	1	1.5714
0.21	2	3.1213
0.21	3	4.5258
0.21	4	5.8581
0.21	5	7.1461
0.21	6	8.4036
0.21	7	9.6385
0.21	8	10.8559
0.21	9	12.0591
0.21	10	13.2505
0.21	11	14.4321
0.21	12	15.6051
0.21	13	16.7707
0.21	14	17.9297
0.21	15	19.0829
0.21	16	20.2309
0.21	17	21.3742
0.21	18	22.5131
0.21	19	23.6481
0.21	20	24.7794
0.21	21	25.9074
0.21	22	27.0324
0.21	23	28.1544
0.21	24	29.2737
0.21	25	30.3905
0.21	26	31.5049
0.21	27	32.6171
0.21	28	33.7272
0.21	29	34.8353
0.21	30	35.9415
0.22	1	1.5044
0.22	2	3.0283
0.22	3	4.415
0.22	4	5.7329
0.22	5	7.0086
0.22	6	8.2552
0.22	7	9.4801
0.22	8	10.6882
0.22	9	11.8828
0.22	10	13.0661
0.22	11	14.2399
0.22	12	15.4056
0.22	13	16.5642
0.22	14	17.7165
0.22	15	18.8632
0.22	16	20.0049
0.22	17	21.1421
0.22	18	22.2751
0.22	19	23.4044
0.22	20	24.5302
0.22	21	25.6528
0.22	22	26.7724
0.22	23	27.8892
0.22	24	29.0035
0.22	25	30.1153
0.22	26	31.2249
0.22	27	32.3323
0.22	28	33.4377
0.22	29	34.5412
0.22	30	35.6429
0.23	1	1.4409
0.23	2	2.9394
0.23	3	4.3087
0.23	4	5.6127
0.23	5	6.8763
0.23	6	8.1122
0.23	7	9.3274
0.23	8	10.5265
0.23	9	11.7126
0.23	10	12.888
0.23	11	14.0544
0.23	12	15.2129
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0.91	28	18.6008
0.91	29	19.4214
0.91	30	20.2452
0.92	1	0.0101
0.92	2	0.1668
0.92	3	0.4949
0.92	4	0.9315
0.92	5	1.439
0.92	6	1.9967
0.92	7	2.5921
0.92	8	3.2172
0.92	9	3.8661
0.92	10	4.535
0.92	11	5.2209
0.92	12	5.9212
0.92	13	6.6343
0.92	14	7.3587
0.92	15	8.093
0.92	16	8.8363
0.92	17	9.5878
0.92	18	10.3467
0.92	19	11.1124
0.92	20	11.8843
0.92	21	12.662
0.92	22	13.4451
0.92	23	14.2331
0.92	24	15.0259
0.92	25	15.8229
0.92	26	16.6241
0.92	27	17.4291
0.92	28	18.2378
0.92	29	19.05
0.92	30	19.8654
0.93	1	0.0077
0.93	2	0.1451
0.93	3	0.4487
0.93	4	0.8616
0.93	5	1.3472
0.93	6	1.8846
0.93	7	2.4611
0.93	8	3.0683
0.93	9	3.7004
0.93	10	4.3534
0.93	11	5.024
0.93	12	5.7098
0.93	13	6.4088
0.93	14	7.1197
0.93	15	7.841
0.93	16	8.5717
0.93	17	9.3109
0.93	18	10.0579
0.93	19	10.812
0.93	20	11.5727
0.93	21	12.3394
0.93	22	13.1117
0.93	23	13.8892
0.93	24	14.6716
0.93	25	15.4586
0.93	26	16.2499
0.93	27	17.0453
0.93	28	17.8444
0.93	29	18.6472
0.93	30	19.4534
0.94	1	0.0057
0.94	2	0.1238
0.94	3	0.4012
0.94	4	0.7884
0.94	5	1.2499
0.94	6	1.7649
0.94	7	2.3205
0.94	8	2.908
0.94	9	3.5215
0.94	10	4.1567
0.94	11	4.8104
0.94	12	5.48
0.94	13	6.1635
0.94	14	6.8593
0.94	15	7.5661
0.94	16	8.2827
0.94	17	9.0083
0.94	18	9.7421
0.94	19	10.4833
0.94	20	11.2314
0.94	21	11.9858
0.94	22	12.7461
0.94	23	13.512
0.94	24	14.2829
0.94	25	15.0587
0.94	26	15.839
0.94	27	16.6235
0.94	28	17.4121
0.94	29	18.2044
0.94	30	19.0004
0.95	1	0.0039
0.95	2	0.1026
0.95	3	0.3518
0.95	4	0.7107
0.95	5	1.1455
0.95	6	1.6354
0.95	7	2.1673
0.95	8	2.7326
0.95	9	3.3251
0.95	10	3.9403
0.95	11	4.5748
0.95	12	5.226
0.95	13	5.8919
0.95	14	6.5706
0.95	15	7.2609
0.95	16	7.9616
0.95	17	8.6718
0.95	18	9.3905
0.95	19	10.117
0.95	20	10.8508
0.95	21	11.5913
0.95	22	12.338
0.95	23	13.0905
0.95	24	13.8484
0.95	25	14.6114
0.95	26	15.3792
0.95	27	16.1514
0.95	28	16.9279
0.95	29	17.7084
0.95	30	18.4927
0.96	1	0.0025
0.96	2	0.0816
0.96	3	0.3002
0.96	4	0.6271
0.96	5	1.0313
0.96	6	1.4924
0.96	7	1.9971
0.96	8	2.5366
0.96	9	3.1047
0.96	10	3.6965
0.96	11	4.3087
0.96	12	4.9385
0.96	13	5.5838
0.96	14	6.2426
0.96	15	6.9137
0.96	16	7.5958
0.96	17	8.2878
0.96	18	8.9889
0.96	19	9.6983
0.96	20	10.4154
0.96	21	11.1395
0.96	22	11.8703
0.96	23	12.6072
0.96	24	13.3498
0.96	25	14.0978
0.96	26	14.8509
0.96	27	15.6087
0.96	28	16.3711
0.96	29	17.1377
0.96	30	17.9083
0.97	1	0.0014
0.97	2	0.0609
0.97	3	0.2451
0.97	4	0.5351
0.97	5	0.9031
0.97	6	1.3296
0.97	7	1.8016
0.97	8	2.3101
0.97	9	2.8485
0.97	10	3.4121
0.97	11	3.9972
0.97	12	4.6009
0.97	13	5.221
0.97	14	5.8556
0.97	15	6.5032
0.97	16	7.1625
0.97	17	7.8324
0.97	18	8.512
0.97	19	9.2004
0.97	20	9.8971
0.97	21	10.6013
0.97	22	11.3125
0.97	23	12.0303
0.97	24	12.7543
0.97	25	13.484
0.97	26	14.219
0.97	27	14.9592
0.97	28	15.7042
0.97	29	16.4538
0.97	30	17.2076
0.98	1	0.0006
0.98	2	0.0404
0.98	3	0.1848
0.98	4	0.4294
0.98	5	0.7519
0.98	6	1.1344
0.98	7	1.5643
0.98	8	2.0325
0.98	9	2.5324
0.98	10	3.0591
0.98	11	3.6087
0.98	12	4.1783
0.98	13	4.7654
0.98	14	5.3682
0.98	15	5.9849
0.98	16	6.6142
0.98	17	7.255
0.98	18	7.9062
0.98	19	8.567
0.98	20	9.2367
0.98	21	9.9146
0.98	22	10.6
0.98	23	11.2926
0.98	24	11.9918
0.98	25	12.6973
0.98	26	13.4086
0.98	27	14.1254
0.98	28	14.8475
0.98	29	15.5745
0.98	30	16.3062
0.99	1	0.0002
0.99	2	0.0201
0.99	3	0.1148
0.99	4	0.2971
0.99	5	0.5543
0.99	6	0.8721
0.99	7	1.239
0.99	8	1.6465
0.99	9	2.0879
0.99	10	2.5582
0.99	11	3.0535
0.99	12	3.5706
0.99	13	4.1069
0.99	14	4.6604
0.99	15	5.2293
0.99	16	5.8122
0.99	17	6.4078
0.99	18	7.0149
0.99	19	7.6327
0.99	20	8.2604
0.99	21	8.8972
0.99	22	9.5425
0.99	23	10.1957
0.99	24	10.8564
0.99	25	11.524
0.99	26	12.1981
0.99	27	12.8785
0.99	28	13.5647
0.99	29	14.2565
0.99	30	14.9535

Final Answers:

Our critical Χ² values are 3.9403 or 18.307

What is the Answer?

Our critical Χ² values are 3.9403 or 18.307

How does the Chi-Square Critical Values Calculator work?

Free Chi-Square Critical Values Calculator - Given a probability, this calculates the critical value for the right-tailed and left-tailed tests for the Chi-Square Distribution. CHIINV from Excel is used as well.
This calculator has 2 inputs.

What 1 formula is used for the Chi-Square Critical Values Calculator?

df = n - 1

What 4 concepts are covered in the Chi-Square Critical Values Calculator?

critical value: a point on the distribution of the test statistic under the null hypothesis that defines a set of values that call for rejecting the null hypothesis.
critical value: a point on the distribution of the test statistic under the null hypothesis that defines a set of values that call for rejecting the null hypothesis.
degrees of freedom: number of values in the final calculation of a statistic that are free to vary
probability: the likelihood of an event happening. This value is always between 0 and 1.
P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomes

Chi-Square Critical Values Calculator

Enter α

Enter Degrees of Freedom

Calculate right-tailed value:

Excel or Google Sheets formula:

Calculate left-tailed value:

Excel or Google Sheets formula:

Critical Values Table:

Final Answers:

What is the Answer?

How does the Chi-Square Critical Values Calculator work?

What 1 formula is used for the Chi-Square Critical Values Calculator?

What 4 concepts are covered in the Chi-Square Critical Values Calculator?

Example calculations for the Chi-Square Critical Values Calculator

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