Answer Happy

(5 points) The results of a tough contest were analyzed for a random sample of 500 com- petitors. It was found that 220 competitors had failed, 170 landed in the third tier, 90 in the second tier, and 20 achieved the top tier. At a = 0.05, are these figures commensurate with the general competition result, which is in the ratio of 4:3:2:1 for the various categories respectively? As usual, state the null and alternate hypotheses, identify the rejection and FTR regions (as inequalities, on a graph, or both), compute the test statistic, report the conclusion of the test, and interpret the conclusion in plain English