Distribución Chi-cuadrado

Nivel de confianza = 1 - a  = 1 - nivel de significación * * *  n = Grados de libertad

NC

90%

95%

97,5%

99%

99,5%

99,9%

NC

1-a

0,995

0,975

0,900

0,500

0,100

0,050

0,025

0,010

0,005

0,001

1-a

n

n

1

0,000

0,000

0,016

0,455

2,706

3,841

5,024

6,635

7,879

10,828

1

2

0,010

0,051

0,211

1,386

4,605

5,991

7,378

9,210

10,597

13,816

2

3

0,072

0,216

0,584

2,366

6,251

7,815

9,348

11,345

12,838

16,266

3

4

0,207

0,484

1,064

3,357

7,779

9,488

11,143

13,277

14,860

18,467

4

5

0,412

0,831

1,610

4,351

9,236

11,070

12,832

15,086

16,750

20,515

5

6

0,676

1,237

2,204

5,348

10,645

12,592

14,449

16,812

18,548

22,458

6

7

0,989

1,690

2,833

6,346

12,017

14,067

16,013

18,475

20,278

24,322

7

8

1,344

2,180

3,490

7,344

13,362

15,507

17,535

20,090

21,955

26,124

8

9

1,735

2,700

4,168

8,343

14,684

16,919

19,023

21,666

23,589

27,877

9

10

2,156

3,247

4,865

9,342

15,987

18,307

20,483

23,209

25,188

29,588

10

11

2,603

3,816

5,578

10,341

17,275

19,675

21,920

24,725

26,757

31,264

11

12

3,074

4,404

6,304

11,340

18,549

21,026

23,337

26,217

28,300

32,910

12

13

3,565

5,009

7,042

12,340

19,812

22,362

24,736

27,688

29,819

34,528

13

14

4,075

5,629

7,790

13,339

21,064

23,685

26,119

29,141

31,319

36,123

14

15

4,601

6,262

8,547

14,339

22,307

24,996

27,488

30,578

32,801

37,697

15

16

5,142

6,908

9,312

15,338

23,542

26,296

28,845

32,000

34,267

39,252

16

17

5,697

7,564

10,085

16,338

24,769

27,587

30,191

33,409

35,718

40,790

17

18

6,265

8,231

10,865

17,338

25,989

28,869

31,526

34,805

37,156

42,312

18

19

6,844

8,907

11,651

18,338

27,204

30,144

32,852

36,191

38,582

43,820

19

20

7,434

9,591

12,443

19,337

28,412

31,410

34,170

37,566

39,997

45,315

20

21

8,034

10,283

13,240

20,337

29,615

32,670

35,479

38,932

41,401

46,797

21

22

8,643

10,982

14,042

21,337

30,813

33,924

36,781

40,289

42,796

48,268

22

23

9,260

11,688

14,848

22,337

32,007

35,172

38,076

41,638

44,181

49,728

23

24

9,886

12,401

15,659

23,337

33,196

36,415

39,364

42,980

45,558

51,179

24

25

10,520

13,120

16,473

24,337

34,382

37,652

40,646

44,314

46,928

52,620

25

26

11,160

13,844

17,292

25,336

35,563

38,885

41,923

45,642

48,290

54,052

26

27

11,808

14,573

18,114

26,336

36,741

40,113

43,194

46,963

49,645

55,476

27

28

12,461

15,308

18,939

27,336

37,916

41,337

44,461

48,278

50,993

56,892

28

29

13,121

16,047

19,768

28,336

39,088

42,557

45,722

49,588

52,336

58,301

29

30

13,787

16,791

20,599

29,336

40,256

43,773

46,979

50,892

53,672

59,703

30

31

14,458

17,539

21,434

30,336

41,422

44,985

48,232

52,191

55,003

61,098

31

32

15,134

18,291

22,271

31,336

42,585

46,194

49,480

53,486

56,329

62,487

32

33

15,815

19,047

23,110

32,336

43,745

47,400

50,725

54,776

57,649

63,870

33

34

16,501

19,806

23,952

33,336

44,903

48,602

51,966

56,061

58,964

65,247

34

35

17,192

20,569

24,797

34,336

46,059

49,802

53,203

57,342

60,275

66,619

35

36

17,887

21,336

25,643

35,336

47,212

50,998

54,437

58,619

61,582

67,985

36

37

18,586

22,106

26,492

36,335

48,363

52,192

55,668

59,892

62,884

69,346

37

38

19,289

22,878

27,343

37,335

49,513

53,384

56,896

61,162

64,182

70,703

38

39

19,996

23,654

28,196

38,335

50,660

54,572

58,120

62,428

65,476

72,055

39

40

20,707

24,433

29,051

39,335

51,805

55,758

59,342

63,691

66,766

73,402

40

41

21,421

25,215

29,907

40,335

52,949

56,942

60,561

64,950

68,053

74,745

41

42

22,138

25,999

30,765

41,335

54,090

58,124

61,777

66,206

69,336

76,084

42

43

22,859

26,785

31,625

42,335

55,230

59,304

62,990

67,459

70,616

77,419

43

44

23,584

27,575

32,487

43,335

56,369

60,481

64,202

68,710

71,893

78,750

44

45

24,311

28,366

33,350

44,335

57,505

61,656

65,410

69,957

73,166

80,077

45

46

25,042

29,160

34,215

45,335

58,641

62,830

66,617

71,201

74,437

81,400

46

47

25,775

29,956

35,081

46,335

59,774

64,001

67,821

72,443

75,704

82,720

47

48

26,511

30,755

35,949

47,335

60,907

65,171

69,023

73,683

76,969

84,037

48

49

27,249

31,555

36,818

48,335

62,038

66,339

70,222

74,919

78,231

85,351

49

50

27,991

32,357

37,689

49,335

63,167

67,505

71,420

76,154

79,490

86,661

50

51

28,735

33,162

38,560

50,335

64,295

68,669

72,616

77,386

80,747

87,968

51

52

29,481

33,968

39,433

51,335

65,422

69,832

73,810

78,616

82,001

89,272

52

53

30,230

34,776

40,308

52,335

66,548

70,993

75,002

79,843

83,253

90,573

53

54

30,981

35,586

41,183

53,335

67,673

72,153

76,192

81,069

84,502

91,872

54

55

31,735

36,398

42,060

54,335

68,796

73,311

77,380

82,292

85,749

93,168

55

56

32,490

37,212

42,937

55,335

69,918

74,468

78,567

83,513

86,994

94,460

56

57

33,248

38,027

43,816

56,335

71,040

75,624

79,752

84,733

88,237

95,751

57

58

34,008

38,844

44,696

57,335

72,160

76,778

80,936

85,950

89,477

97,039

58

59

34,770

39,662

45,577

58,335

73,279

77,931

82,117

87,166

90,715

98,324

59

60

35,534

40,482

46,459

59,335

74,397

79,082

83,298

88,379

91,952

99,607

60

61

36,300

41,303

47,342

60,335

75,514

80,232

84,476

89,591

93,186

100,888

61

62

37,068

42,126

48,226

61,335

76,630

81,381

85,654

90,802

94,419

102,166

62

63

37,838

42,950

49,111

62,335

77,745

82,529

86,830

92,010

95,649

103,442

63

64

38,610

43,776

49,996

63,335

78,860

83,675

88,004

93,217

96,878

104,716

64

65

39,383

44,603

50,883

64,335

79,973

84,821

89,177

94,422

98,105

105,988

65

66

40,158

45,431

51,770

65,335

81,085

85,965

90,349

95,626

99,331

107,258

66

67

40,935

46,261

52,659

66,335

82,197

87,108

91,519

96,828

100,550

108,526

67

68

41,713

47,092

53,548

67,334

83,308

88,250

92,689

98,028

101,780

109,791

68

69

42,494

47,924

54,438

68,334

84,418

89,391

93,856

99,228

103,000

111,055

69

70

43,275

48,758

55,329

69,334

85,527

90,531

95,023

100,430

104,210

112,317

70

71

44,058

49,592

56,221

70,334

86,635

91,670

96,189

101,620

105,430

113,577

71

72

44,843

50,428

57,113

71,334

87,743

92,808

97,353

102,820

106,650

114,835

72

73

45,629

51,265

58,006

72,334

88,850

93,945

98,516

104,010

107,860

116,092

73

74

46,417

52,103

58,900

73,334

89,956

95,081

99,678

105,200

109,070

117,346

74

75

47,206

52,942

59,795

74,334

91,061

96,217

100,840

106,390

110,290

118,599

75

76

47,997

53,782

60,690

75,334

92,166

97,351

102,000

107,580

111,500

119,850

76

77

48,788

54,623

61,586

76,334

93,270

98,484

103,160

108,770

112,700

121,100

77

78

49,582

55,466

62,483

77,334

94,373

99,617

104,320

109,960

113,910

122,348

78

79

50,376

56,309

63,380

78,334

95,476

100,750

105,470

111,140

115,120

123,594

79

80

51,172

57,153

64,278

79,334

96,578

101,880

106,630

112,330

116,320

124,839

80

81

51,969

57,998

65,176

80,334

97,680

103,010

107,780

113,510

117,520

126,082

81

82

52,767

58,845

66,076

81,334

98,780

104,140

108,940

114,690

118,730

127,324

82

83

53,567

59,692

66,976

82,334

99,880

105,270

110,090

115,880

119,930

128,565

83

84

54,368

60,540

67,876

83,334

100,980

106,390

111,240

117,060

121,130

129,804

84

85

55,170

61,389

68,777

84,334

102,080

107,520

112,390

118,240

122,320

131,041

85

86

55,973

62,239

69,679

85,334

103,180

108,650

113,540

119,410

123,520

132,277

86

87

56,777

63,089

70,581

86,334

104,280

109,770

114,690

120,590

124,720

133,512

87

88

57,582

63,941

71,484

87,334

105,370

110,900

115,840

121,770

125,910

134,745

88

89

58,389

64,793

72,387

88,334

106,470

112,020

116,990

122,940

127,110

135,978

89

90

59,196

65,647

73,291

89,334

107,560

113,150

118,140

124,120

128,300

137,208

90

91

60,005

66,501

74,196

90,334

108,660

114,270

119,280

125,290

129,490

138,438

91

92

60,815

67,356

75,101

91,334

109,760

115,390

120,430

126,460

130,680

139,666

92

93

61,625

68,211

76,006

92,334

110,850

116,510

121,570

127,630

131,870

140,893

93

94

62,437

69,068

76,912

93,334

111,940

117,630

122,720

128,800

133,060

142,119

94

95

63,250

69,925

77,818

94,334

113,040

118,750

123,860

129,970

134,250

143,344

95

96

64,063

70,783

78,725

95,334

114,130

119,870

125,000

131,140

135,430

144,567

96

97

64,878

71,642

79,633

96,334

115,220

120,990

126,140

132,310

136,620

145,789

97

98

65,694

72,501

80,541

97,334

116,320

122,110

127,280

133,480

137,800

147,010

98

99

66,510

73,361

81,449

98,334

117,410

123,230

128,420

134,640

138,990

148,230

99

100

67,328

74,222

82,358

99,334

118,500

124,340

129,560

135,810

140,170

149,449

100

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