A business school professor uses multiple choice tests. Each question on his exams has five possible answers which are assumed to be equally likely. One of his brighter students wants to know whether this assumption is correct and whether or not this professor randomly distributes the correct answer over the five choices. If not, he believes he can improve his odds when guessing the answer to questions he is not sure of. The student took 1000 questions from previous tests and found the following distribution: a = 185, b = 230, c = 215, d = 180 and e = 190.
Required:
a. Formulate the null hypothesis for this test?
b. How many degrees of freedom do you have for this test?
c. What is the calculated value of the test statistic?
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