Test the following hypotheses by using the ?2 goodness of fit
test.
| H0: | pA = 0.4, pB = 0.2, and pC = 0.4 |
| Ha: |
The population proportions are not pA = 0.4, pB = 0.2, and pC = 0.4 |
A sample of size 200 yielded 20 in category A, 120 in category
B, and 60 in category C. Use = .01 and test to see
whether the proportions are as stated in H0.
a. Use the p-value approach.
?2 =
The p-value is Selectless than .005between .005 and
.01between .01 and .025between .025 and .05between .05 and
.10greater than .10Item 2
Conclusion:
SelectConclude the proportions differ from 0.4, 0.2, and 0.4.Cannot
conclude that the proportions differ from 0.4, 0.2, and 0.4.Item
3
b. Repeat the test using the critical value
approach.
?2.01 = (to 3 decimals)
?2 =
Conclusion:
SelectConclude the proportions differ from 0.4, 0.2, and 0.4.Cannot
conclude that the proportions differ from 0.4, 0.2, and 0.4.Item
6
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