Problem 9.2 We define a fair die to mean that each face is equally likely; thus, there are six categories, and the null hypothesis we wish to test is H0 : pi = 1/6, i = 1,..., 6. To determine if a die is fair, as opposed to the alternative that it is not, a die was thrown n = 60 times, with the results displayed in the following table. Complete columns 3 and 4, compute the χ2 statistic, and test the null hypothesis at the level α = 0.05 Face Observed Expected yi − npi0 frequency frequency yi npi0 1 10 2 9 3 11 4 11 5 8 6 11