Suppose a multinomial population is comprised of five categories labeled: A, B, C, D, and E. A sample of size 300 yielded 50 in Category A, 80 in Category B, 60 in Category C, 40 in Category D, and 70 in Category E. Test the following hypotheses for a multinomial probability distribution using the chi-squared goodness-of-fit test and determine the value of the test statistic. H0 : pA = 0.2, pB = 0.2, pC = 0.2, pD = 0.2, pE = 0.2 Ha : The probabilities are not all equal a. 0.200 b. 0.100 c. 0.002 d. 0.020