There's a rare disease that occurs in 1% of the population. There's a test that yields positive result on 99% of ill people, and false positive on 2% of healthy people. The test shows positive result on a patient. What's the probability that the patient does not have the disease

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.