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684
Chapter 15: Chi-Square Tests
We can verify this by using the
Chi-Square Goodness-of-Fit Test
workbook. The appropriate output is shown in
Figure 15-21
.
Figure 15-21:
Goodness-of-Fit Test for
Example 15-5
Since there are 4 categories (reality shows) then
= 4. Thus the degrees of
freedom for the chi-square distribution will be
=
– 1 = 4 - 1 = 3. Thus,
the critical value is
= 11.345 for a level of significance equal to 0.01.
This value can be obtained from the
Critical Values for the Chi-Square
Distribution
workbook as shown in
Figure 15-11
.
Thus, we can now write up the hypothesis test to determine whether the
proportions of viewers for the four reality shows did not change for the
second season.
: The proportion of viewers who watched the reality shows (A, B, C,
and D) were 25 percent, 30 percent, 25 percent, and 20 percent
Click here for the Chi-Square Goodness-of-Fit Test Workbook Click here for the Critical Values for the Chi-Square Distribution Workbook