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

Calculate left-tailed value:

Our critical Χ2-value = 4.6604

Critical Values Table:

αDegrees of FreedomProbability (Area under Curve)
0.0116.6349
0.0129.2103
0.01311.3449
0.01413.2767
0.01515.0863
0.01616.8119
0.01718.4753
0.01820.0902
0.01921.666
0.011023.2093
0.011124.725
0.011226.217
0.011327.6882
0.011429.1412
0.011530.5779
0.011631.9999
0.011733.4087
0.011834.8053
0.011936.1909
0.012037.5662
0.012138.9322
0.012240.2894
0.012341.6384
0.012442.9798
0.012544.3141
0.012645.6417
0.012746.9629
0.012848.2782
0.012949.5879
0.013050.8922
0.0215.4119
0.0227.824
0.0239.8374
0.02411.6678
0.02513.3882
0.02615.0332
0.02716.6224
0.02818.1682
0.02919.679
0.021021.1608
0.021122.6179
0.021224.054
0.021325.4715
0.021426.8728
0.021528.2595
0.021629.6332
0.021730.995
0.021832.3462
0.021933.6874
0.022035.0196
0.022136.3434
0.022237.6595
0.022338.9683
0.022440.2704
0.022541.5661
0.022642.8558
0.022744.14
0.022845.4188
0.022946.6927
0.023047.9618
0.0314.7093
0.0327.0131
0.0338.9473
0.03410.7119
0.03512.3746
0.03613.9676
0.03715.5091
0.03817.0105
0.03918.4796
0.031019.9219
0.031121.3416
0.031222.7418
0.031324.1249
0.031425.4931
0.031526.8479
0.031628.1907
0.031729.5227
0.031830.8447
0.031932.1577
0.032033.4624
0.032134.7593
0.032236.0492
0.032337.3323
0.032438.6093
0.032539.8804
0.032641.146
0.032742.4066
0.032843.6622
0.032944.9132
0.033046.1599
0.0414.2179
0.0426.4378
0.0438.3112
0.04410.0255
0.04511.6443
0.04613.1978
0.04714.703
0.04816.1708
0.04917.6083
0.041019.0207
0.041120.412
0.041221.7851
0.041323.1423
0.041424.4855
0.041525.8162
0.041627.1356
0.041728.445
0.041829.7451
0.041931.0367
0.042032.3206
0.042133.5972
0.042234.8673
0.042336.1311
0.042437.3891
0.042538.6416
0.042639.8891
0.042741.1318
0.042842.3699
0.042943.6038
0.043044.8336
0.0513.8415
0.0525.9915
0.0537.8147
0.0549.4877
0.05511.0705
0.05612.5916
0.05714.0671
0.05815.5073
0.05916.919
0.051018.307
0.051119.6751
0.051221.0261
0.051322.362
0.051423.6848
0.051524.9958
0.051626.2962
0.051727.5871
0.051828.8693
0.051930.1435
0.052031.4104
0.052132.6706
0.052233.9244
0.052335.1725
0.052436.415
0.052537.6525
0.052638.8851
0.052740.1133
0.052841.3371
0.052942.557
0.053043.773
0.0613.5374
0.0625.6268
0.0637.4069
0.0649.0444
0.06510.5962
0.06612.0896
0.06713.5397
0.06814.9563
0.06916.3459
0.061017.7131
0.061119.0614
0.061220.3934
0.061321.7113
0.061423.0166
0.061524.3108
0.061625.595
0.061726.8701
0.061828.137
0.061929.3964
0.062030.6489
0.062131.8949
0.062233.135
0.062334.3696
0.062435.599
0.062536.8235
0.062638.0435
0.062739.2593
0.062840.471
0.062941.6789
0.063042.8831
0.0713.283
0.0725.3185
0.0737.0603
0.0748.6664
0.07510.191
0.07611.6599
0.07713.0877
0.07814.4836
0.07915.8537
0.071017.2026
0.071118.5334
0.071219.8488
0.071321.1507
0.071422.4408
0.071523.7202
0.071624.9901
0.071726.2514
0.071827.5049
0.071928.7512
0.072029.991
0.072131.2246
0.072232.4526
0.072333.6754
0.072434.8932
0.072536.1065
0.072637.3154
0.072738.5202
0.072839.7213
0.072940.9187
0.073042.1126
0.0813.0649
0.0825.0515
0.0836.7587
0.0848.3365
0.0859.8366
0.08611.2835
0.08712.6912
0.08814.0684
0.08915.4211
0.081016.7535
0.081118.0687
0.081219.3692
0.081320.6568
0.081421.9331
0.081523.1993
0.081624.4564
0.081725.7053
0.081826.9467
0.081928.1814
0.082029.4097
0.082130.6322
0.082231.8494
0.082333.0616
0.082434.269
0.082535.4721
0.082636.6711
0.082737.8662
0.082839.0577
0.082940.2456
0.083041.4304
0.0912.8744
0.0924.8159
0.0936.4915
0.0948.0434
0.0959.5211
0.09610.9479
0.09712.3372
0.09813.6975
0.09915.0342
0.091016.3516
0.091117.6526
0.091218.9395
0.091320.214
0.091421.4778
0.091522.7319
0.091623.9774
0.091725.215
0.091826.4455
0.091927.6694
0.092028.8874
0.092130.0998
0.092231.3071
0.092332.5096
0.092433.7077
0.092534.9015
0.092636.0915
0.092737.2777
0.092838.4604
0.092939.6398
0.093040.8161
0.1012.7055
0.1024.6052
0.1036.2514
0.1047.7794
0.1059.2364
0.10610.6446
0.10712.017
0.10813.3616
0.10914.6837
0.101015.9872
0.101117.275
0.101218.5493
0.101319.8119
0.101421.0641
0.101522.3071
0.101623.5418
0.101724.769
0.101825.9894
0.101927.2036
0.102028.412
0.102129.6151
0.102230.8133
0.102332.0069
0.102433.1962
0.102534.3816
0.102635.5632
0.102736.7412
0.102837.9159
0.102939.0875
0.103040.256
0.1112.5542
0.1124.4145
0.1136.0333
0.1147.539
0.1158.9766
0.11610.3676
0.11711.7242
0.11813.0542
0.11914.3626
0.111015.6532
0.111116.9288
0.111218.1914
0.111319.4428
0.111420.6843
0.111521.917
0.111623.1417
0.111724.3592
0.111825.5702
0.111926.7752
0.112027.9747
0.112129.1691
0.112230.3589
0.112331.5442
0.112432.7255
0.112533.9029
0.112635.0767
0.112736.2471
0.112837.4144
0.112938.5786
0.113039.74
0.1212.4173
0.1224.2405
0.1235.8335
0.1247.3182
0.1258.7376
0.12610.1123
0.12711.4541
0.12812.7703
0.12914.0659
0.121015.3444
0.121116.6085
0.121217.8603
0.121319.1012
0.121420.3326
0.121521.5555
0.121622.7708
0.121723.9792
0.121825.1814
0.121926.3779
0.122027.569
0.122128.7554
0.122229.9372
0.122331.1147
0.122432.2884
0.122533.4584
0.122634.625
0.122735.7883
0.122836.9485
0.122938.1059
0.123039.2605
0.1312.2925
0.1324.0804
0.1335.6489
0.1347.1137
0.1358.5159
0.1369.8754
0.13711.2031
0.13812.5064
0.13913.7898
0.131015.0569
0.131116.3102
0.131217.5516
0.131318.7826
0.131420.0045
0.131521.2182
0.131622.4247
0.131723.6246
0.131824.8184
0.131926.0068
0.132027.1901
0.132128.3687
0.132229.5431
0.132330.7133
0.132431.8799
0.132533.0429
0.132634.2026
0.132735.3591
0.132836.5128
0.132937.6636
0.133038.8118
0.1412.178
0.1423.9322
0.1435.4773
0.1446.9233
0.1458.3092
0.1469.654
0.14710.9685
0.14812.2594
0.14913.5313
0.141014.7876
0.141116.0306
0.141217.2621
0.141318.4838
0.141419.6966
0.141520.9017
0.141622.0997
0.141723.2915
0.141824.4774
0.141925.6581
0.142026.834
0.142128.0053
0.142229.1726
0.142330.3359
0.142431.4956
0.142532.652
0.142633.8052
0.142734.9554
0.142836.1027
0.142937.2475
0.143038.3896
0.1512.0723
0.1523.7942
0.1535.317
0.1546.7449
0.1558.1152
0.1569.4461
0.15710.7479
0.15812.0271
0.15913.288
0.151014.5339
0.151115.7671
0.151216.9893
0.151318.202
0.151419.4062
0.151520.603
0.151621.7931
0.151722.977
0.151824.1555
0.151925.3289
0.152026.4976
0.152127.662
0.152228.8225
0.152329.9792
0.152431.1325
0.152532.2825
0.152633.4295
0.152734.5736
0.152835.715
0.152936.8538
0.153037.9903
0.1611.9742
0.1623.6652
0.1635.1665
0.1646.577
0.1657.9324
0.1669.25
0.16710.5396
0.16811.8075
0.16913.058
0.161014.294
0.161115.5177
0.161216.731
0.161317.9351
0.161419.1311
0.161520.3199
0.161621.5023
0.161722.6789
0.161823.8501
0.161925.0165
0.162026.1784
0.162127.3362
0.162228.4902
0.162329.6406
0.162430.7877
0.162531.9316
0.162633.0727
0.162734.211
0.162835.3467
0.162936.4799
0.163037.6108
0.1711.8829
0.1723.5439
0.1735.0247
0.1746.4185
0.1757.7595
0.1769.0642
0.17710.3421
0.17811.5992
0.17912.8396
0.171014.0661
0.171115.2808
0.171216.4854
0.171317.6813
0.171418.8694
0.171520.0506
0.171621.2256
0.171722.395
0.171823.5594
0.171924.719
0.172025.8744
0.172127.0258
0.172228.1736
0.172329.3179
0.172430.459
0.172531.5972
0.172632.7325
0.172733.8652
0.172834.9954
0.172936.1233
0.173037.2489
0.1811.7976
0.1823.4296
0.1834.8904
0.1846.2681
0.1857.5952
0.1868.8876
0.18710.1542
0.18811.4009
0.18912.6315
0.181013.8488
0.181115.0548
0.181216.2512
0.181317.4391
0.181418.6196
0.181519.7935
0.181620.9614
0.181722.1239
0.181823.2816
0.181924.4348
0.182025.5838
0.182126.7291
0.182227.8709
0.182329.0094
0.182430.1448
0.182531.2773
0.182632.4072
0.182733.5345
0.182834.6594
0.182935.7821
0.183036.9026
0.1911.7176
0.1923.3215
0.1934.763
0.1946.1251
0.1957.4388
0.1968.7191
0.1979.9749
0.19811.2115
0.19912.4327
0.191013.6411
0.191114.8387
0.191216.0271
0.191317.2073
0.191418.3804
0.191519.5472
0.191620.7082
0.191721.8642
0.191823.0154
0.191924.1623
0.192025.3053
0.192126.4446
0.192227.5806
0.192328.7134
0.192429.8433
0.192530.9704
0.192632.095
0.192733.2171
0.192834.3369
0.192935.4546
0.193036.5702
0.2011.6424
0.2023.2189
0.2034.6416
0.2045.9886
0.2057.2893
0.2068.5581
0.2079.8032
0.20811.0301
0.20912.2421
0.201013.442
0.201114.6314
0.201215.812
0.201316.9848
0.201418.1508
0.201519.3107
0.201620.4651
0.201721.6146
0.201822.7595
0.201923.9004
0.202025.0375
0.202126.1711
0.202227.3015
0.202328.4288
0.202429.5533
0.202530.6752
0.202631.7946
0.202732.9117
0.202834.0266
0.202935.1394
0.203036.2502
0.2111.5714
0.2123.1213
0.2134.5258
0.2145.8581
0.2157.1461
0.2168.4036
0.2179.6385
0.21810.8559
0.21912.0591
0.211013.2505
0.211114.4321
0.211215.6051
0.211316.7707
0.211417.9297
0.211519.0829
0.211620.2309
0.211721.3742
0.211822.5131
0.211923.6481
0.212024.7794
0.212125.9074
0.212227.0324
0.212328.1544
0.212429.2737
0.212530.3905
0.212631.5049
0.212732.6171
0.212833.7272
0.212934.8353
0.213035.9415
0.2211.5044
0.2223.0283
0.2234.415
0.2245.7329
0.2257.0086
0.2268.2552
0.2279.4801
0.22810.6882
0.22911.8828
0.221013.0661
0.221114.2399
0.221215.4056
0.221316.5642
0.221417.7165
0.221518.8632
0.221620.0049
0.221721.1421
0.221822.2751
0.221923.4044
0.222024.5302
0.222125.6528
0.222226.7724
0.222327.8892
0.222429.0035
0.222530.1153
0.222631.2249
0.222732.3323
0.222833.4377
0.222934.5412
0.223035.6429
0.2311.4409
0.2322.9394
0.2334.3087
0.2345.6127
0.2356.8763
0.2368.1122
0.2379.3274
0.23810.5265
0.23911.7126
0.231012.888
0.231114.0544
0.231215.2129
0.231316.3646
0.231417.5103
0.231518.6507
0.231619.7863
0.231720.9176
0.231822.0449
0.231923.1685
0.232024.2889
0.232125.4062
0.232226.5207
0.232327.6325
0.232428.7418
0.232529.8488
0.232630.9537
0.232732.0565
0.232833.1573
0.232934.2564
0.233035.3537
0.2411.3806
0.2422.8542
0.2434.2066
0.2445.4969
0.2456.7488
0.2467.9742
0.2479.1799
0.24810.3702
0.24911.5481
0.241012.7158
0.241113.8748
0.241215.0263
0.241316.1714
0.241417.3107
0.241518.4449
0.241619.5745
0.241720.6999
0.241821.8216
0.241922.9399
0.242024.055
0.242125.1671
0.242226.2765
0.242327.3834
0.242428.4879
0.242529.5902
0.242630.6904
0.242731.7887
0.242832.8851
0.242933.9798
0.243035.0728
0.2511.3233
0.2522.7726
0.2534.1083
0.2545.3853
0.2556.6257
0.2567.8408
0.2579.0371
0.25810.2189
0.25911.3888
0.251012.5489
0.251113.7007
0.251214.8454
0.251315.9839
0.251417.1169
0.251518.2451
0.251619.3689
0.251720.4887
0.251821.6049
0.251922.7178
0.252023.8277
0.252124.9348
0.252226.0393
0.252327.1413
0.252428.2412
0.252529.3389
0.252630.4346
0.252731.5284
0.252832.6205
0.252933.7109
0.253034.7997
0.2611.2688
0.2622.6941
0.2634.0136
0.2645.2774
0.2656.5065
0.2667.7116
0.2678.8989
0.26810.0721
0.26911.2342
0.261012.3868
0.261113.5317
0.261214.6697
0.261315.8018
0.261416.9287
0.261518.0509
0.261619.1689
0.261720.2832
0.261821.3941
0.261922.5018
0.262023.6066
0.262124.7087
0.262225.8084
0.262326.9057
0.262428.0009
0.262529.0941
0.262630.1854
0.262731.2749
0.262832.3628
0.262933.449
0.263034.5338
0.2711.2167
0.2722.6187
0.2733.9221
0.2745.173
0.2756.3911
0.2767.5864
0.2778.7646
0.2789.9296
0.27911.0839
0.271012.2294
0.271113.3673
0.271214.4987
0.271315.6245
0.271416.7454
0.271517.8618
0.271618.9743
0.271720.0831
0.271821.1887
0.271922.2913
0.272023.3911
0.272124.4884
0.272225.5833
0.272326.6761
0.272427.7668
0.272528.8555
0.272629.9425
0.272731.0278
0.272832.1114
0.272933.1936
0.273034.2743
0.2811.1671
0.2822.5459
0.2833.8336
0.2845.0719
0.2856.2791
0.2867.4647
0.2878.6342
0.2889.791
0.28910.9378
0.281012.076
0.281113.2072
0.281214.3322
0.281315.4518
0.281416.5668
0.281517.6775
0.281618.7844
0.281719.888
0.281820.9884
0.281922.0859
0.282023.1809
0.282124.2734
0.282225.3637
0.282326.4519
0.282427.5382
0.282528.6226
0.282629.7053
0.282730.7864
0.282831.866
0.282932.9441
0.283034.0209
0.2911.1196
0.2922.4757
0.2933.7479
0.2944.9738
0.2956.1703
0.2967.3464
0.2978.5072
0.2989.6561
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0.8710.0268
0.8720.2785
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0.8741.2488
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0.943019.0004
0.9510.0039
0.9520.1026
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0.9551.1455
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0.963017.9083
0.9710.0014
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0.9910.0002
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0.9940.2971
0.9950.5543
0.9960.8721
0.9971.239
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0.9992.0879
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0.99123.5706
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0.99144.6604
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0.99176.4078
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0.99197.6327
0.99208.2604
0.99218.8972
0.99229.5425
0.992310.1957
0.992410.8564
0.992511.524
0.992612.1981
0.992712.8785
0.992813.5647
0.992914.2565
0.993014.9535

Final Answers:


Our critical Χ2 values are 29.1412 or 4.6604