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Professor Ivy has determined that 2% of students cheat on tests. The assessment center has purchased a computer program which claims it can detect cheaters

Professor Ivy has determined that 2% of students cheat on tests. The assessment center has purchased a computer program which claims it can detect cheaters with 95% accuracy. The computer program will give a positive result if it detects cheating and a negative result if it does not. The assessment center uses the computer program on 1,000 students. Fill out the predicted outcomes for the 1,000 students: Computer Shows Positive Computer Shows Negative Total Cheater Non-Cheater Total 1. The computer program says you cheated! Explain to Professor Ivy what the chances that you have been wrongfully accused are. 33.9% 2. What is this type of test result called? false positive 3. The director of the assessment center doesn't want to purchase the cheat detector, because he thinks 5% of students will get away with cheating. Explain to him what the probability is that a student who gets a negative test result actually got away with cheating. 0.1% 4. What is this type of test result called? False negative

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