A number is to be selected from the interval {x : 0 <>x <>2} by a random process. Let A; = {x : (i - 1)/2 x i/2}, i = 1, 2, 3, and let A 4 = {x :!<>x < 2}.="" a="">certain hypothesis assigns probabilities Pio to these sets in accordance with Pm = IA; (!)(2 - x) dx, i = 1, 2, 3, 4. This hypothesis (concerning the multinomial p.d.f. with k = 4) is to be tested, at the 5 percent level of significance, by a chi-square test. If the observed frequencies of the sets A 1, i = 1, 2, 3, 4, are, respectively, 30, 30, 10, IO, would H 0 be accepted at the (approximate) 5 percent level of significance?