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A new diagnostic test was created to check the diabetic status of individuals with a high risk of diabetes. A sample of 500 patients were

A new diagnostic test was created to check the diabetic status of individuals with a high risk of diabetes. A sample of 500 patients were selected and the results are shown below:

Diabetes No Diabetes
Positive Test 171 17
Negative Test 79 233

a) Find the probability of having a positive test result and no diabetes.

b) Find the positive predictive value and interpret the result.

c) Find the specificity of the new diagnostic test and interpret the result.

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