Suppose you roll two dice 100 times. Each time you record their difference (always subtracting the smaller one from the bigger one to get a positive difference). The possible values you get are 0,1,2,3,4 and 5. You record the frequency of each value in the following table: | Difference of two dice Observed frequency 0 | 1 | 2 | 3 | 4 | 5 12 | 31 | 26 | 13 | 10 | 8 Let your null hypothesis be that the dice are fair, and the alternative hypothesis be that they are not fair. Using a confidence level of a = 0.10, test the null hypothesis by a goodness-of-fit test. 0 1 | 2 | 3 4 | 5 Hint: begin by completing table: (completing table: fx) X f(x) | 14 ).