Tert the following hypotheses by using the x2 goodness of fit test. HeePA=0.40,PB=0.40,andPC=0.20 Ha i The population proportions are not PA=0.40,PB=0.40, and PC=0.20. A sample of size 200 yielded 80 in category A,20 in category B, and 100 in category C, Use a=0.01 and test to see whether the proportions are as stated in H0. (a) Use the p-value approbch. Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) pvalue= State your conclusion. Do not reject H0. We cannos conciude that the proportions are equal to 0.40,0.40, and 0.20 . Reject H0. We conclude that the proportions differ from 0.40,0.40, and 0.20 . Do not reject H0. We cannot conclude that the proportions differ fram 0.40,0.40, and 0.20 . Reject H0. We conclude that the proportions are equal to 0.40,0.40, and 0.20 . (b) Repeat the test using the critical value approach. Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-talled, enter NoNE for the unused tali. Round your answers to three decimal places.) test statistic test statiste z State your conclusion. Reject H0. We conclude that the proportions are equal to 0.40,0.40, and 0.20 . Do not reject H0. We cannot conclude that the proportions differ from 0.40,0.40, and 0.20 . Reject H0. We conclude that the proportions differ from 0.40,0.40, and 0.20