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a) A medical test produces a correct result 99% of the time when the patient is ill but is only 97% accurate when the patient

a) A medical test produces a correct result 99% of the time when the patient is ill but is only 97% accurate when the patient is not. What is the probability of committing a Type I error?

b) Assuming the patient in part a has a 90% chance of actually being ill when they take the test, what is the probability they are actually ill if they test positive?

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