What are definitions of sensitivity and specificity? In medical diagnosis, test sensi- tivity is the ability of a test to correctly identify those with the disease (true positive rate), whereas test specificity is the ability of the test to correctly identify those without the disease (true negative rate). If 1000 patients known to have a disease were tested, and 438 test positive, What’s the sensitivity of this test? If 2000 with no disease are tested and 1960 return a negative result, then what’s the specificity of this test?

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please use a .05 significance level for all the problems. Show all your work.
When you perform a test, you should at least tell me what your hypothesis is, the test
statistic and your conclusions based on your calculations.

1. What are definitions of sensitivity and specificity? In medical diagnosis, test sensi-
tivity is the ability of a test to correctly identify those with the disease (true positive rate), whereas
test specificity is the ability of the test to correctly identify those without the disease (true negative
rate). If 1000 patients known to have a disease were tested, and 438 test positive, What’s the
sensitivity of this test? If 2000 with no disease are tested and 1960 return a negative result, then
what’s the specificity of this test?

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