We wish to determine whether a gambler?? die is loaded. We roll the die 60 times and obtain the following results: (a) In Problem 3, one rat was given 50 trials; in this problem one die is given 60 trials. Why was it not appropriate to use the 2 test in Problem 3,whereas it is appropriate here? (See the second assumption in Section 20.7.) (b) State, in symbolic form, two equivalent statements of H0 for this situation. (c) Can HA be written in a single symbolic statement? Explain. (d) Compute the expected frequencies under H0. (e) Compute 2 and complete the test (.05). Draw final conclusions. (f) Do these results prove the die is not loaded? (See Section 12.6.) Problem 3 A graduate student wants to know about a particular rat?? preference for light or dark at two alternative routes at a choice point in a maze. Would it be permissible to give it 50 trials and use the 2 test? Explain