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What is the probability of having a screening error

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A test has been developed for detecting a disease.Let the event D = {disease condition is present}. Suppose that the test has a sensitivity of 90 % (i.e., P ( test result is positive | D ) = 0.90 ) and a specificity of 70 % (i.e., P ( test result is negative | D c ) = 0.70 ).

Also suppose that the incidence of the disease is 0.30 (i.e., P ( D ) = 0.30 ).

What is the probability of having a screening error for the test?

Reference no: EM132851231

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