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Chapter 15: Chi-Square Tests
is, at the 5 percent level of significance, there is enough sample evidence to
reject the null hypothesis that the die used in the game is fair. Thus, one can
conclude that the die used in the game is not fair.
Figure 15-12
shows the output from the
Chi-Square Test for Goodness-of-
Fit
workbook. Observe that the test statistic is 50.86 with a
-value =
0.0000. This
-value would support the decision of rejecting the null
hypothesis since its value is less than the significance level of 0.05.
Figure 15-12:
Computations for
Example 15-3
Note:
For the chi-square goodness-of-fit test, the expected frequencies should be at
least 5. When the expected frequency of a class or category is less than 5,
this class or category can be combined with another class or category so that
the expected frequency is at least 5.
Based on this note, we can combine categories 2 an3 in
Figure 15-12
.
Click here for the Chi-Square Goodness-of-Fit Test Workbook