using excel>addin>phstat>multiple sample test >chi square
we have
Chi-Square Test | ||||||||
Observed Frequencies | ||||||||
Column variable | Calculations | |||||||
Row variable | C1 | C2 | C3 | Total | fo-fe | |||
R1 | 9 | 33 | 55 | 97 | -6.17318 | -2.22346 | 8.396648 | |
R2 | 19 | 32 | 31 | 82 | 6.173184 | 2.223464 | -8.39665 | |
Total | 28 | 65 | 86 | 179 | ||||
Expected Frequencies | ||||||||
Column variable | ||||||||
Row variable | C1 | C2 | C3 | Total | (fo-fe)^2/fe | |||
R1 | 15.17318 | 35.22346 | 46.60335 | 97 | 2.51155 | 0.140355 | 1.512846 | |
R2 | 12.82682 | 29.77654 | 39.39665 | 82 | 2.970979 | 0.16603 | 1.789586 | |
Total | 28 | 65 | 86 | 179 | ||||
Data | ||||||||
Level of Significance | 0.01 | |||||||
Number of Rows | 2 | |||||||
Number of Columns | 3 | |||||||
Degrees of Freedom | 2 | |||||||
Results | ||||||||
Critical Value | 9.21034 | |||||||
Chi-Square Test Statistic | 9.091346 | |||||||
p-Value | 0.010613 | |||||||
Do not reject the null hypothesis |
the rejection region is
c )
E11 | 15.173 |
E12 | 35.223 |
E13 | 46.603 |
E21 | 12.827 |
E22 | 29.777 |
E23 | 39.397 |
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