5. ( 10 pts) Bob is 24 years old; he is applying for a job as forklift driver wi

Question

5. ( 10 pts) Bob is 24 years old; he is applying for a job as forklift driver with The Widget Company, The drives immediately over to the diagnostics lab. Bob fills out the lab's questionnaire and checks "NO" to use of any illegal drug. Results of Bob's test come back positive for heroin (an opiate), but not for any other illegal human resources (HR) person informs Bob that he must first be tested for illegal drugs. Bob leaves HR and drug. For USA men of Bob's ag with heroin at a rate of ess than 0.06%, about 20% of that of use ofcocaine. The assays used to detect drugs (yes, these are actual rates). Specificity 75% 98% 99% 96% in body fluids have the following sensitivity and specificity Marijuana Methamphetamine Cocaine Opiates Sensitivity 91% 94% 95% 99.8% Select the most likely interpretation for why Bob had a positive test for presence of heroin A. Type I error B. Type II error C. No error has been committed Briefly explain your choice.

Explanation / Answer

The chance of testing positive among those without the condition is Type I error. So, assuming that Bob does not use any illegal drug, the chance of testing positive of opiate may be because of Type I error.

Type I error = 100% - specificity = 100% - 96% = 4%

So, Bob may be among that 4% cases, where the applicant does not use any illegal drug but tested prositive for opiate. So, the correct option is A. Type I error

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