Chris has just received test results from a patient named Cardi who is infected with a mystery disease. The accuracy of the test is as follows: The probability the test will be positive if Cardi is infected is p, and the probability the test will be positive if Cardi is not infected is q. The proportion of the population that is infected is π. The test comes back positive. Chris has no information about the disease and related symptoms. Suppose Chris does not have a true gasp of the base rates. Chris thinks that the base rate is γπ (gamma*pi), with γ is less than or equal to π. This is to
Chris has just received test results from a patient named Cardi who is infected with a mystery disease. The accuracy of the test is as follows:
The
Suppose Chris does not have a true gasp of the base rates. Chris thinks that the base rate is γπ (gamma*pi), with γ is less than or equal to π. This is to make sure that Chris's belief about the prevalance of the mystery disease is no more than 100%.
If p=0.95, 1=0.05, π=1, what must be the value of γ if Chris thinks that the probability Cardi has the disease is 0.9?
A. 3.57
B. 0.5
C. 1.05
D. 3.214
Please provide explanation
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