Appendix E: Chi-Square Table

Critical Values for Chi-Square ( Table)

df

Proportion in Critical Region

.1

.05

.02

.01

.005

1

2.706

3.841

5.024

6.635

7.879

2

4.605

5.991

7.378

9.210

10.597

3

6.251

7.815

9.348

11.345

12.838

4

7.779

9.488

11.143

13.277

14.860

5

9.236

11.070

12.833

15.086

16.750

6

10.645

12.592

14.449

16.812

18.548

7

12.017

14.067

16.013

18.475

20.278

8

13.362

15.507

17.535

20.090

21.955

9

14.684

16.919

19.023

21.666

23.589

10

15.987

18.307

20.483

23.209

25.188

11

17.275

19.675

21.920

24.725

26.757

12

18.549

21.026

23.337

26.217

28.300

13

19.812

22.362

24.736

27.688

29.819

14

21.064

23.685

26.119

29.141

31.319

15

22.307

24.996

27.488

30.578

32.801

16

23.542

26.296

28.845

32.000

34.267

17

24.769

27.587

30.191

33.409

35.718

18

25.989

28.869

31.526

34.805

37.156

19

27.204

30.144

32.852

36.191

38.582

20

28.412

31.410

34.170

37.566

39.997

21

29.615

32.671

35.479

38.932

41.401

22

30.813

33.924

36.781

40.289

42.796

23

32.007

35.172

38.076

41.638

44.181

24

33.196

36.415

39.364

42.980

45.559

25

34.382

37.652

40.646

44.314

46.928

26

35.563

38.885

41.923

45.642

48.290

27

36.741

40.113

43.195

46.963

49.645

28

37.916

41.337

44.461

48.278

50.993

29

39.087

42.557

45.722

49.588

52.336

30

40.256

43.773

46.979

50.892

53.672

40

51.805

55.758

59.342

63.691

66.766

50

63.167

67.505

71.420

76.154

79.490

60

74.397

79.082

83.298

88.379

91.952

70

85.527

90.531

95.023

100.425

104.215

80

96.578

101.879

106.629

112.329

116.321

90

107.565

113.145

118.136

124.116

128.299

100

118.498

124.342

129.561

135.807

140.169

Adapted from Appendix A, Statistical Tables in Introductory Business Statistics/OpenStax. CC BY 4.0.

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Introduction to Statistics in the Psychological Sciences by Linda R. Cote Ph.D.; Rupa G. Gordon Ph.D.; Chrislyn E. Randell Ph.D.; Judy Schmitt; and Helena Marvin is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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