4.18 Let Y,- be a bin(n,, m) variate for group i, i = l, . . . , N, with {Yi} independent. For the model that 7n = ' - - = my, denote that common value by It. For observations {yi}, show that if = (21- 37,-) / (Z, 11,-). When all n,- = l, for testing this model's t in the N x 2 table, Show that X 2 = N. Thus, goodnessoft statistics can be completely uninformative for ungrouped data. (See also Exercise 5.35.)