At NAME Page 4 of 8 c) (70% of the points on this question) A statistics profess
ID: 3058599 • Letter: A
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At NAME Page 4 of 8 c) (70% of the points on this question) A statistics professor works tirelessly to catch students cheating on his exams. He has particular routes for his teaching assistants to patrol, an elevated chair to ensure an unobstructed view of all students, and even a video recording of the exam in case additional evidence needs to be collected Effectively his procedures act as a test for cheating. The professor estimates that his test catches 95% of the students who cheat in his class, but 1% of the time his test wrongly reports that a student is cheating when the student is actually not cheating. Consider the null hypothesis, "the student is not cheating-" i) What is the probability of Type I and Type II errors for this professor's test? ii) Do you think that students would be most concerned about Type 1, or Type 2 errors? Fully explain your answers, including definitions of all concepts usedExplanation / Answer
At NAME Page 4 of 8 c) (70% of the points on this question) A statistics professor works tirelessly to catch students cheating on his exams. He has particular routes for his teaching assistants to patrol, an elevated chair to ensure an unobstructed view of all students, and even a video recording of the exam in case additional evidence needs to be collected Effectively his procedures act as a test for cheating. The professor estimates that his test catches 95% of the students who cheat in his class, but 1% of the time his test wrongly reports that a student is cheating when the student is actually not cheating. Consider the null hypothesis, "the student is not cheating-" i) What is the probability of Type I and Type II errors for this professor's test? ii) Do you think that students would be most concerned about Type 1, or Type 2 errors? Fully explain your answers, including definitions of all concepts used
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