Given α = 0.99, with 14 degrees of freedom, calculate the right-tailed and left-tailed critical value for Χ²

Calculate right-tailed value:

Since α = 0.99, the area under the curve is 1 - α → 1 - 0.99 = 0.01

Our critical Χ² value is 29.1412

Excel or Google Sheets formula:

=CHIINV(0.01,14)

Calculate left-tailed value:

Our critical Χ²-value = 4.6604

Excel or Google Sheets formula:

=CHIINV(0.99,14)

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
0.23	13	16.3646
0.23	14	17.5103
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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

What is the Answer?

Our critical Χ² values are 29.1412 or 4.6604

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

For more math formulas, check out our Formula Dossier

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

Example calculations for the Chi-Square Critical Values Calculator

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