Question # B.1 Suppose in health-science, D denotes the diseased and D denotes t

Question

Question # B.1
Suppose in health-science, D denotes the diseased and D denotes the non-diseased(healthy) states. In medical diagnostics, there are two possible errors that may occur:Type I error means that a non-diseased (healthy) condition is (wrongly) diagnosed asdiseased and medical treatment is pursued (denoted as the state, F); and, Type II errormeans that a diseased condition is (wrongly) diagnosed as non-diseased and medical
treatment is not administered (denoting the state F ).(a) Indicate Type I and Type II errors on the following diagram:
                  D                                 F    
                    D                                F   

Explanation / Answer

The question seems incorrect because the same letter (D & F) are used for each diseased/non-diseased and treatment pursued/non-pursued. For the sake of anwering this question, I will reassign letters to each case:-

D = Diseased

ND = Non-diseased

F = Treatment pursued

NF = Treatment not pursued

Now, Type I error occurs when a non-diseased person is diagnosed as diseased. Type II error occurs when a diseased person is diagnosed as non-diseased. Thus, we get =>

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