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A Genetic Test for a Marker M Was Carried Out

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A genetic test for a marker M was carried out in 500 people affected by disease X and showed that 480 of the affected individuals typed positive for the marker. In a suitably matched set of 1000 healthy controls, just 80 people typed positive for marker.
i) Establish the sensitivity and specificity of the test.
ii) Work out the false positive rate and the positive predictive value
iii) Work out the false negative rate and the negative predictive value.

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The working hypothesis is that there is ...

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