Test the following hypotheses by using the χ2 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 40 in category A, 120 in category B, and 40 in
category C. Use = .01 and test to see whether the proportions are
as stated in H0. Use Table 12.4.
a. Use the p-value approach. χ2 = (to 2 decimals)
b. The p-value is
c. Repeat the test using the critical value approach. χ2.01 =
(to 3 decimals)
Conclusion:
