Suppose you wish to test if a number cube (die) is loaded or not. If the die is not loaded, the theoretical probabilities for each roll should be: 1 2 3 4 5 6 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % You roll the die 84 times and come up with the following distribution: 123456 12 11 20 12 15 14 Part a: What type of test should be used in this situation? Part b: State the hypothesis. Part c: What is the test statistic? Part d: Find the p-value and state your conclusion.