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A professor gives a multiple choice exam where each question has five choices. The professor decides not to count a question against students if the class as a whole does significantly worse on the question than they would have done simply by guessing. In other words, the teacher tests H₀ : p= 0.20 versus Hₐ : p < 0.20 for each question, where p is the proportion of students who would correctly answer the question. Suppose that 14 of 100 students correctly answer a particular question Assuming that the conditions for inference have been met, calculate the test statistic for the professor's significance test.
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