Determine the critical value of χ2 with 1 degree of freedom for α=0.005
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.4: Expected Value
Problem 21E
Related questions
Question
Determine the critical value of χ2 with 1 degree of freedom for α=0.005.
Round to three decimal places as needed.
Transcribed Image Text:Critical Values of x
For a particular number of degrees of freedom, entry represents the critical value of x
coresponding to the cumulative probability (1 - a) and a specified upper-tail area (a).
Cumulative Probabilities
0.005
0.01
0.025 0.05
0.10
0.25
0.75
0.90
0.95
0.975
0.99
0.995
Upper-Tail Areas (a)
Degrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.75
0.25
0.10
0.05
0.025
0.01
0.005
0.001
0.004
0.016
0.102
1.323
2.706
3.841
5.024
6.635
7.879
0.010
0.020
0.051
0.103
0.211
0.575
2.773
4.605
5.991
7.378
9.210
11.345
10.597
0.072
0.207
6251
7.779
3
0.115
0.216
0.352
0.584
1.213
4.108
7.815
9.348
12.838
0.297
0.484
0.711
1.064
1.923
5.385
9.488
11.143
13.277
14.860
0.412
0.554
0.831
1.145
1.610
2.675
6.626
9236
11.071
12.833
15.086
16.750
0.676
0.872
1.237
1.635
2.204
3.455
7.841
10.645
12.592
14.449
16.812
18.548
1.690
2.833
4.255
12.017
13.362
0.989
1.239
2.167
9.037
14.067
16.013
18.475
20.278
8.
1.344
1.646
2.180
2.733
3.490
5.071
10.219
15.507
17.535
20.090
21.955
1.735
2.088
2.700
3.325
4.168
5.899
11.389
14.684
16.919
19.023
21.666
23.589
10
2.156
2.558
3.247
3.940
4.865
6.737
12.549
15.987
18.307
20.483
23.209
25.188
2.603
3.053
4.575
7.584
13.701
14.845
3.816
5.578
17.275
19.675
21.920
24.725
26.757
12
3.074
3.571
4.404
5.226
6.304
8.438
18.549
21.026
23.337
26.217
28.299
13
3.565
4.107
5.009
5.892
7.042
9.299
15.984
19.812
22.362
24.736
27.688
29.819
14
4.075
4.660
5.629
6.571
7.790
10.165
17.117
21.064
23.685
26.119
29.141
31.319
15
4.601
5.229
6.262
7.261
8.547
11.037
18.245
22.307
24.996
27.488
30.578
32.801
7.962
19.369
23.542
24.769
16
5.142
5.812
6.908
9.312
11.912
26.296
28.845
32.000
34.267
12.792
13.675
14.562
17
5.697
6.408
7.564
8.672
10.085
20.489
27.587
30.191
33.409
35.718
18
6.265
7.015
8.231
9.390
10.865
21.605
25.989
28.869
31.526
34.805
37.156
19
6.844
7.633
8.907
10.117
11.651
22.718
27.204
30.144
32.852
36.191
38.582
Transcribed Image Text:0.676
0.872
1.237
1.635
2.204
3.455
7.841
10.645
12.592
14.449
16.812
18.548
0.989
1.239
1.690
2.167
2.833
4.255
9.037
12.017
14.067
16.013
18.475
20.278
8.
1.344
1.646
2.180
2.733
3.490
5.071
10.219
13.362
15.507
17.535
20.090
21.955
9.
1.735
2.088
2.700
3.325
4.168
5.899
11.389
14.684
16.919
19.023
21.666
23.589
10
2.156
2.558
3.247
3.940
4.865
6.737
12.549
15.987
18.307
20.483
23.209
25.188
2.603
3.053
3.816
4.575
5.578
7.584
13.701
17.275
19.675
21.920
24.725
26.757
12
3.074
23.337
3.571
4.107
4.404
5.226
6.304
7.042
8.438
14.845
18.549
21.026
26.217
28.299
13
3.565
5.009
5.892
9.299
15.984
19.812
22.362
24.736
27.688
29.819
14
4.075
7.790
4.660
5.229
5.629
6.571
10.165
17.117
21.064
23.685
26.119
29.141
31.319
15
4.601
6.262
7.261
8.547
11.037
18.245
22.307
24.996
27.488
30.578
32.801
16
5.142
5.812
6.908
7.962
9.312
11.912
19.369
23.542
26.296
28.845
32.000
34.267
17
5.697
6.408
7.564
8.672
10.085
12.792
20.489
24.769
27.587
30.191
33.409
35.718
18
6.265
7.015
8.231
9.390
10.865
13.675
21.605
25.989
28.869
31.526
34.805
37.156
19
6.844
7.633
8.907
10.117
11.651
14.562
22.718
27.204
30.144
32.852
36.191
38.582
39.997
20
7.434
8.260
9.591
10.851
12.443
15.452
23.828
28.412
31.410
34.170
37.566
21
8.034
8.897
10.283
11.591
13.240
16.344
24.935
29.615
32.671
35.479
38.932
41.401
22
8.643
9.542
10.982
12.338
14.042
17.240
26.039
30.813
33.924
36.781
40.289
42.796
23
9.260
10.196
11.689
13.091
14.848
18.137
27.141
32.007
35.172
38.076
41.638
44.181
15.659
33.196
34.382
45.559
46.928
24
9.886
10.856
12.401
13.848
19.037
28.241
36.415
39.364
42.980
25
10.520
11.524
13.120
14.611
16.473
19.939
29.339
37.652
40.646
44.314
26
11.160
12.198
13.844
15.379
17.292
20.843
30.435
35.563
38.885
41.923
45.642
48.290
27
11.808
12.879
14.573
16.151
18.114
21.749
31.528
36.741
40.113
43.194
49.645
46.963
48.278
13.565
22.657
41.337
44.461
45.722
28
12.461
15.308
16.928
18.939
32.620
37.916
50.993
29
13.121
14.257
16.047
17.708
19.768
23.567
33.711
39.087
42.557
49.588
52.336
30
13.787
14.954
16.791
18.493
20.599
24.478
34.800
40.256
43.773
46.979
50.892
53.672
0.995
0.99
0.975
0.95
0.90
0.75
0.25
0.10
0.05
0.025
0.01
0.005
Degrees of
Freedom
Upper-Tail Areas (a)
0.005
0.01
0.025
0.05
0.10
0.25
0.75
0.90
0.95
0.975
0.99
0.995
Cumulative Probabilities
679
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