A number is to be selected from the interval {x : 0 < x < 2} by a random process. Let A_i = {x : (i − 1)/2 < x ≤ i/2}, i = 1, 2, 3, and let A4 = {x :3/2 < x < 2}. For i = 1, 2, 3, 4, suppose a certain hypothesis assigns probabilities p_i0 to these sets in accordance with p_i0 = ∫_Ai (1/2)(2 − x) dx, i = 1, 2, 3, 4. This hypothesis (concerning the multinomial pdf with k = 4) is to be tested at the 5% level of significance by a chi-square test. If the observed frequencies of the sets A_i, i = 1, 2, 3, 4, are respectively, 30, 30, 10, 10, would H₀ be accepted at the (approximate) 5% level of significance?