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A new test to detect TB has been designed. It is estimated that 89% of people...

A new test to detect TB has been designed. It is estimated that 89% of people taking this test have the disease. The test detects the disease in 97% of those who have the disease. The test does not detect the disease in 99% of those who do not have the disease. If a person taking the test is chosen at random, what is the probability of the test indicating that the person does not have the disease?

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