You may need to use the appropriate technology to answer this question. Test the folowing hypotheses by wing the x2 goodiness of fit test. H0PA=0.404P4=0.40,andPC=0.20 Hm t the population proportions are not fA=0.40,fS=0.40, and fc=0.20. A wample of sae 200 yelded 100 in category A,20 in category b, and 80 in category C. Use a =0.01 and test te ste whether the preportions are is atated in Hf (a) Use the prvalue apbroach. Find the value of the test statisic. find the a-velue. (Hoound your anwer ta four decimal places.) B*esin = State your cosnctusion. Do not reject M0 We casnet cenclude that the propertions are equal to 0.40,0.40, and 0.20. the nid reject H0. Wis cannot conctude that the prepertions differ from 0.40,0,40, and 0.20. Wryect He. We conciude that the progsetians are equal to 0.40,0.40, and 0.20. Fieiect Ma. We conclase that the propertions offer from 0.40, 0.40, and 0.20. (5) Reseat the teit uting the orical velue approoch. Find the raien of the ted staristic. teit stabitic s) Int suthen ? Slate yuur condusen: 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 tail. Round your answers to three decimal places.) test statistic s test statistic 2 State your conclusion. Reject H0. We conciude 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. Reject H0. We conclude that the proportions are equal to 0.40,0.40, and 0.20. De not reject H0. We cannot conclude that the proportions are equal to 0.40,0.40, and 0.20