Question
Suppose that 10,000 people are given a drug test that is 96.2% accurate and that 500 of the people actually are drug users. Using that
Suppose that 10,000 people are given a drug test that is 96.2% accurate and that 500 of the people actually are drug users. Using that information, complete the following chart:
Accurate Error Total
Nonusers 9,120 380
(true negative). (false positive). 9500
Users 500 0
(true positive) (false negative) 500
Total 9620 380 10,000
Hint: Fill out "accurate nonusers" first by looking at what percent of the total nonusers would be accurately tested.
Looking only at positive results (accurate users and error nonusers), what is the probability of a false positive (error nonuser)?(Round to three decimal places.)
Looking only at negative results, what is the probability of a false negative?(round to three decimal places)
Would you consider this test to be accurate or not? Explain your reasoning fully.
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