Test the following hypotheses by using the 2 goodness of fit test. H0: pA = 0.40, pB = 0.40, and pC = 0.20 Ha: The population proportions are not pA = 0.40, pB = 0.40, and pC = 0.20. A sample of size 200 yielded 20 in category A, 80 in category B, and 100 in category C. Use = 0.01 and test to see whether the proportions are as stated in H0.

(a) Use the p-value approach. Find the value of the test statistic.

. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0

b) Repeat the test using the critical value approach. Find the value of the test statistic. Incorrect: Your answer is incorrect. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail. Round your answers to three decimal places.) test statistic test statistic