According to the National Institute of Mental Health website, the prevalence (base rate) of schizophrenia is less than 1% of the populat For purposes of this question, let's assume that it is 1%. Suppose we have a diagnostic test for schizophrenia that is 90% correct for those who have the disorder and also 90% correct for those who do not have it. ACTUAL Schizophrenic Normal

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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According to the National Institute of Mental Health website, the prevalence (base rate) of schizophrenia is less than 1% of the population.
For purposes of this question, let's assume that it is 1%. Suppose we have a diagnostic test for schizophrenia that is 90% correct for
those who have the disorder and also 90% correct for those who do not have it.
АCTUAL
Schizophrenic Normal
Schizophrenic
TEST RESULT
Normal
891
10
990
1,000
Now suppose the test says that your oddly behaving neighbor has schizophrenia.
What is the likelihood that he actually does have it? The likelihood is about...
O 10/1000 =1%
%3D
9/108 = 8%
9/99 =9%
891/1000 = 89%
99/1000 = 99%
%3D
Transcribed Image Text:According to the National Institute of Mental Health website, the prevalence (base rate) of schizophrenia is less than 1% of the population. For purposes of this question, let's assume that it is 1%. Suppose we have a diagnostic test for schizophrenia that is 90% correct for those who have the disorder and also 90% correct for those who do not have it. АCTUAL Schizophrenic Normal Schizophrenic TEST RESULT Normal 891 10 990 1,000 Now suppose the test says that your oddly behaving neighbor has schizophrenia. What is the likelihood that he actually does have it? The likelihood is about... O 10/1000 =1% %3D 9/108 = 8% 9/99 =9% 891/1000 = 89% 99/1000 = 99% %3D
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