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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. 2. What is this type of test result called? 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. 4. What is this type of test result called

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