Mathematics, 08.11.2020 21:40 kim643

For many years the only way to test if a person had tuberculosis (TB) required a laboratory procedure that could take up to several weeks to produce a definite result. There are now DNA-based tests to detect TB that can be done in a couple of hours. We have the following data on a DNA test for TB

If a person does not have TB then the DNA test always is negative.
If a person does have TB, then the DNA test will be positive 94% of the time.
Assume that we will use the test in Africa where the rate of incidence of TB is 450 per 100,000.

Has TB Does not have TB Row Totals
Test result: negative
Test result: positive P
Column Totals Q 100,000
What is the value of Q?

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