Test the following hypotheses by using the x2 goodness of fit test. H0:pA=0.40,pB=0.40,andpC=0.20Ha:ThepopulationproportionsarenotpA=0.40,pB=0.40,andpC=0.20. A sample of size 200 yielded 60 in category A,20 in category B, and 120 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. 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 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 from 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-tailed, enter NONE for the unused tail. Round your answers to three decimal places.) test statistic test statistic State your conclusion. Reject H0. We conclude that the proportions differ from 0.40,0.40, and 0.20 . 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 . Do not reject H0. We cannot conclude that the proportions are equal to 0.40,0.40, and 0.20