Your company markets a computerized medical diagnostic program used to evaluate
ID: 3301824 • Letter: Y
Question
Your company markets a computerized medical diagnostic program used to evaluate thousands of people. The program scans the results of routine medical tests (pulse rate, blood tests, etc.) and refers the case to a doctor if there is evidence of a medical problem. The program makes a decision about each person. The hypotheses are:
H0: The patient is healthy.
Ha: The patient has a medical problem.
Use this information to answer the next three questions.Your company markets a computerized medical diagnostic program used to evaluate thousands of people. The program scans the results of routine medical tests (pulse rate, blood tests, etc.) and refers the case to a doctor if there is evidence of a medical problem. The program makes a decision about each person. The hypotheses are:
H0: The patient is healthy.
Ha: The patient has a medical problem.
Explanation / Answer
3) A type I error is the incorrect rejection of a true null hypothesis, therefore here it would mean we are incorrectly rejecting the fact that the patient is healthy even though the patient in reality is healthy. Therefore sending a healthy patient to the doctor is the correct answer here.
4) Similarly, a type II error is incorrectly retaining a false null hypothesis therefore here it would mean that we are not rejecting the fact that the patient is healthy even though he is not healthy in reality. Therefore not referring a patient with a medical problem to the docto is the correct answer here.
5) The company desires to minimize costs by not sending a healthy patient to a doctor. Which error probability would you choose to make smaller, therefore the company would try to minimize type I error due to which we are sending healthy patients to doctor. Therefore minimizing type I error rate is the correct answer here.
6) Power of the test is defined as the probability of rejecting the incorrect null hypothesis. Therefore here it would be defined as the probability of sending a patient with a medical problem to the doctor. Therefore the probability of sending a patient with a medical problem to the doctor is the correct answer here.
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