Textbook Problem

Test the following hypotheses by using the χ² goodness of fit test.

H₀: p_A = .40, p_B = .40, and p_C = .20

H_a: The population proportions are not

p_A = .40, p_B = .40, and p_C = .20

A sample of size 200 yielded 60 in category A, 120 in category B, and 20 in category C. Use α = .01 and test to see whether the proportions are as stated in H₀.

1. a. Use the p-value approach.
2. b. Repeat the test using the critical value approach.