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Hello Please assist me with the following homework Question A test is devised to detect the virus. Suppose the current occurrence in the country can

Hello

Please assist me with the following homework Question

A test is devised to detect the virus. Suppose the current occurrence in the country can be assumed to be 2%. On the basis of extensive testing it is established that the test produces 7% False Positives and 1% False Negatives.

A large number of people are tested at random, and those with a positive reaction are taken for further testing and checking.

a) What proportion of people who have the virus are correctly diagnosed?

b) What proportion of people who test positive actually have the virus?

c) What proportion of people with a negative reaction actually have the virus?

d) What proportion of the tests conducted give the incorrect diagnosis?

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