{"id":474,"date":"2021-12-16T16:41:16","date_gmt":"2021-12-16T16:41:16","guid":{"rendered":"https:\/\/pressbooks.palomar.edu\/introtostats\/back-matter\/appendix-e\/"},"modified":"2025-03-27T18:37:15","modified_gmt":"2025-03-27T18:37:15","slug":"appendix-e","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.palomar.edu\/introtostats\/back-matter\/appendix-e\/","title":{"raw":"Appendix E: Chi-Square Table","rendered":"Appendix E: Chi-Square Table"},"content":{"raw":"

Critical Values for Chi-Square (\"\" Table)<\/span><\/h2>\r\n<\/colgroup>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
\r\n

df<\/span><\/p>\r\n<\/td>\r\n

\r\n

Critical Values<\/p>\r\n<\/td>\r\n<\/tr>\r\n

\r\n

.05<\/p>\r\n<\/td>\r\n

\r\n

.01<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n<\/thead>\r\n
\r\n

1<\/p>\r\n<\/td>\r\n

\r\n

3.841<\/p>\r\n<\/td>\r\n

\r\n

6.635<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

2<\/p>\r\n<\/td>\r\n

\r\n

5.991<\/p>\r\n<\/td>\r\n

\r\n

9.210<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

3<\/p>\r\n<\/td>\r\n

\r\n

7.815<\/p>\r\n<\/td>\r\n

\r\n

11.345<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

4<\/p>\r\n<\/td>\r\n

\r\n

9.488<\/p>\r\n<\/td>\r\n

\r\n

13.277<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

5<\/p>\r\n<\/td>\r\n

\r\n

11.070<\/p>\r\n<\/td>\r\n

\r\n

15.086<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

6<\/p>\r\n<\/td>\r\n

\r\n

12.592<\/p>\r\n<\/td>\r\n

\r\n

16.812<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

7<\/p>\r\n<\/td>\r\n

\r\n

14.067<\/p>\r\n<\/td>\r\n

\r\n

18.475<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

8<\/p>\r\n<\/td>\r\n

\r\n

15.507<\/p>\r\n<\/td>\r\n

\r\n

20.090<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

9<\/p>\r\n<\/td>\r\n

\r\n

16.919<\/p>\r\n<\/td>\r\n

\r\n

21.666<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

10<\/p>\r\n<\/td>\r\n

\r\n

18.307<\/p>\r\n<\/td>\r\n

\r\n

23.209<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

11<\/p>\r\n<\/td>\r\n

\r\n

19.675<\/p>\r\n<\/td>\r\n

\r\n

24.725<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

12<\/p>\r\n<\/td>\r\n

\r\n

21.026<\/p>\r\n<\/td>\r\n

\r\n

26.217<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

13<\/p>\r\n<\/td>\r\n

\r\n

22.362<\/p>\r\n<\/td>\r\n

\r\n

27.688<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

14<\/p>\r\n<\/td>\r\n

\r\n

23.685<\/p>\r\n<\/td>\r\n

\r\n

29.141<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

15<\/p>\r\n<\/td>\r\n

\r\n

24.996<\/p>\r\n<\/td>\r\n

\r\n

30.578<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

16<\/p>\r\n<\/td>\r\n

\r\n

26.296<\/p>\r\n<\/td>\r\n

\r\n

32.000<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

17<\/p>\r\n<\/td>\r\n

\r\n

27.587<\/p>\r\n<\/td>\r\n

\r\n

33.409<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

18<\/p>\r\n<\/td>\r\n

\r\n

28.869<\/p>\r\n<\/td>\r\n

\r\n

34.805<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

19<\/p>\r\n<\/td>\r\n

\r\n

30.144<\/p>\r\n<\/td>\r\n

\r\n

36.191<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

20<\/p>\r\n<\/td>\r\n

\r\n

31.410<\/p>\r\n<\/td>\r\n

\r\n

37.566<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

21<\/p>\r\n<\/td>\r\n

\r\n

32.671<\/p>\r\n<\/td>\r\n

\r\n

38.932<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

22<\/p>\r\n<\/td>\r\n

\r\n

33.924<\/p>\r\n<\/td>\r\n

\r\n

40.289<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

23<\/p>\r\n<\/td>\r\n

\r\n

35.172<\/p>\r\n<\/td>\r\n

\r\n

41.638<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

24<\/p>\r\n<\/td>\r\n

\r\n

36.415<\/p>\r\n<\/td>\r\n

\r\n

42.980<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

25<\/p>\r\n<\/td>\r\n

\r\n

37.652<\/p>\r\n<\/td>\r\n

\r\n

44.314<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

26<\/p>\r\n<\/td>\r\n

\r\n

38.885<\/p>\r\n<\/td>\r\n

\r\n

45.642<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

27<\/p>\r\n<\/td>\r\n

\r\n

40.113<\/p>\r\n<\/td>\r\n

\r\n

46.963<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

28<\/p>\r\n<\/td>\r\n

\r\n

41.337<\/p>\r\n<\/td>\r\n

\r\n

48.278<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

29<\/p>\r\n<\/td>\r\n

\r\n

42.557<\/p>\r\n<\/td>\r\n

\r\n

49.588<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

30<\/p>\r\n<\/td>\r\n

\r\n

43.773<\/p>\r\n<\/td>\r\n

\r\n

50.892<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

40<\/p>\r\n<\/td>\r\n

\r\n

55.758<\/p>\r\n<\/td>\r\n

\r\n

63.691<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

50<\/p>\r\n<\/td>\r\n

\r\n

67.505<\/p>\r\n<\/td>\r\n

\r\n

76.154<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

60<\/p>\r\n<\/td>\r\n

\r\n

79.082<\/p>\r\n<\/td>\r\n

\r\n

88.379<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

70<\/p>\r\n<\/td>\r\n

\r\n

90.531<\/p>\r\n<\/td>\r\n

\r\n

100.425<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

80<\/p>\r\n<\/td>\r\n

\r\n

101.879<\/p>\r\n<\/td>\r\n

\r\n

112.329<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

90<\/p>\r\n<\/td>\r\n

\r\n

113.145<\/p>\r\n<\/td>\r\n

\r\n

124.116<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n
\r\n

100<\/p>\r\n<\/td>\r\n

\r\n

124.342<\/p>\r\n<\/td>\r\n

\r\n

135.807<\/p>\r\n<\/td>\r\n

<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

Adapted from Appendix A, Statistical Tables<\/span><\/a> in Introductory Business Statistics\/OpenStax. CC BY 4.0<\/span><\/a>.<\/p>","rendered":"

Critical Values for Chi-Square (\"\" Table)<\/span><\/h2>\n\n\n\n\n\n\n\n<\/colgroup>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

df<\/span><\/p>\n<\/td>\n

\n

Critical Values<\/p>\n<\/td>\n<\/tr>\n

\n

.05<\/p>\n<\/td>\n

\n

.01<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n<\/thead>\n
\n

1<\/p>\n<\/td>\n

\n

3.841<\/p>\n<\/td>\n

\n

6.635<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

2<\/p>\n<\/td>\n

\n

5.991<\/p>\n<\/td>\n

\n

9.210<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

3<\/p>\n<\/td>\n

\n

7.815<\/p>\n<\/td>\n

\n

11.345<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

4<\/p>\n<\/td>\n

\n

9.488<\/p>\n<\/td>\n

\n

13.277<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

5<\/p>\n<\/td>\n

\n

11.070<\/p>\n<\/td>\n

\n

15.086<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

6<\/p>\n<\/td>\n

\n

12.592<\/p>\n<\/td>\n

\n

16.812<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

7<\/p>\n<\/td>\n

\n

14.067<\/p>\n<\/td>\n

\n

18.475<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

8<\/p>\n<\/td>\n

\n

15.507<\/p>\n<\/td>\n

\n

20.090<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

9<\/p>\n<\/td>\n

\n

16.919<\/p>\n<\/td>\n

\n

21.666<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

10<\/p>\n<\/td>\n

\n

18.307<\/p>\n<\/td>\n

\n

23.209<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

11<\/p>\n<\/td>\n

\n

19.675<\/p>\n<\/td>\n

\n

24.725<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

12<\/p>\n<\/td>\n

\n

21.026<\/p>\n<\/td>\n

\n

26.217<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

13<\/p>\n<\/td>\n

\n

22.362<\/p>\n<\/td>\n

\n

27.688<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

14<\/p>\n<\/td>\n

\n

23.685<\/p>\n<\/td>\n

\n

29.141<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

15<\/p>\n<\/td>\n

\n

24.996<\/p>\n<\/td>\n

\n

30.578<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

16<\/p>\n<\/td>\n

\n

26.296<\/p>\n<\/td>\n

\n

32.000<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

17<\/p>\n<\/td>\n

\n

27.587<\/p>\n<\/td>\n

\n

33.409<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

18<\/p>\n<\/td>\n

\n

28.869<\/p>\n<\/td>\n

\n

34.805<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

19<\/p>\n<\/td>\n

\n

30.144<\/p>\n<\/td>\n

\n

36.191<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

20<\/p>\n<\/td>\n

\n

31.410<\/p>\n<\/td>\n

\n

37.566<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

21<\/p>\n<\/td>\n

\n

32.671<\/p>\n<\/td>\n

\n

38.932<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

22<\/p>\n<\/td>\n

\n

33.924<\/p>\n<\/td>\n

\n

40.289<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

23<\/p>\n<\/td>\n

\n

35.172<\/p>\n<\/td>\n

\n

41.638<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

24<\/p>\n<\/td>\n

\n

36.415<\/p>\n<\/td>\n

\n

42.980<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

25<\/p>\n<\/td>\n

\n

37.652<\/p>\n<\/td>\n

\n

44.314<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

26<\/p>\n<\/td>\n

\n

38.885<\/p>\n<\/td>\n

\n

45.642<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

27<\/p>\n<\/td>\n

\n

40.113<\/p>\n<\/td>\n

\n

46.963<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

28<\/p>\n<\/td>\n

\n

41.337<\/p>\n<\/td>\n

\n

48.278<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

29<\/p>\n<\/td>\n

\n

42.557<\/p>\n<\/td>\n

\n

49.588<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

30<\/p>\n<\/td>\n

\n

43.773<\/p>\n<\/td>\n

\n

50.892<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

40<\/p>\n<\/td>\n

\n

55.758<\/p>\n<\/td>\n

\n

63.691<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

50<\/p>\n<\/td>\n

\n

67.505<\/p>\n<\/td>\n

\n

76.154<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

60<\/p>\n<\/td>\n

\n

79.082<\/p>\n<\/td>\n

\n

88.379<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

70<\/p>\n<\/td>\n

\n

90.531<\/p>\n<\/td>\n

\n

100.425<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

80<\/p>\n<\/td>\n

\n

101.879<\/p>\n<\/td>\n

\n

112.329<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

90<\/p>\n<\/td>\n

\n

113.145<\/p>\n<\/td>\n

\n

124.116<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n
\n

100<\/p>\n<\/td>\n

\n

124.342<\/p>\n<\/td>\n

\n

135.807<\/p>\n<\/td>\n

<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Adapted from Appendix A, Statistical Tables<\/span><\/a> in Introductory Business Statistics\/OpenStax. CC BY 4.0<\/span><\/a>.<\/p>\n","protected":false},"author":7,"menu_order":7,"template":"","meta":{"pb_show_title":"","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[27],"contributor":[],"license":[],"class_list":["post-474","back-matter","type-back-matter","status-publish","hentry","back-matter-type-appendix"],"_links":{"self":[{"href":"https:\/\/pressbooks.palomar.edu\/introtostats\/wp-json\/pressbooks\/v2\/back-matter\/474","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.palomar.edu\/introtostats\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/pressbooks.palomar.edu\/introtostats\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.palomar.edu\/introtostats\/wp-json\/wp\/v2\/users\/7"}],"version-history":[{"count":2,"href":"https:\/\/pressbooks.palomar.edu\/introtostats\/wp-json\/pressbooks\/v2\/back-matter\/474\/revisions"}],"predecessor-version":[{"id":813,"href":"https:\/\/pressbooks.palomar.edu\/introtostats\/wp-json\/pressbooks\/v2\/back-matter\/474\/revisions\/813"}],"metadata":[{"href":"https:\/\/pressbooks.palomar.edu\/introtostats\/wp-json\/pressbooks\/v2\/back-matter\/474\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.palomar.edu\/introtostats\/wp-json\/wp\/v2\/media?parent=474"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.palomar.edu\/introtostats\/wp-json\/pressbooks\/v2\/back-matter-type?post=474"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.palomar.edu\/introtostats\/wp-json\/wp\/v2\/contributor?post=474"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.palomar.edu\/introtostats\/wp-json\/wp\/v2\/license?post=474"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}