Suppose that 1000 people are given a drug test that is 98% accurate and that 50

Question

Suppose that 1000 people are given a drug test that is 98% accurate and that 50 of the people actually are drug users. Using that information, complete the following chart (round to the nearest whole number Error Nonusers 950 50 Users (false negative) 20 1000 Hint: Fill out "accurate nonusers first by looking at what percent of the total nonusers would be accurately tested. Then fill out "error nonusers. Then fill out the rest 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? Would you consider this test to be accurate or not? Explain your reasoning fully (round to three decimal places)

Explanation / Answer

The correct numbers are

Accurate Non Accurate

Non Users 931 19 950

Users 49 1 50

P( False positive) = 19/(19+49)=19/58=0.3275

P( false negative) = 1/932

No, this is not accurate as false positives are very high

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.