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In Exercises 21鈥24, refer to the sample data in Table 4-1, which is included with the Chapter Problem. Assume that 1 of the 555 subjects included in Table 4-1 is randomly selected.


Positive Test Result

(Test shows drug use)

Negative Test Result

(Test shows no drug use)

Subject Uses Drugs

45 (True Positive)

5 (False Negative)

Subject Does Not Use drugs

25 (False Positive)

480 (True Negative)

Drug Testing Job Applicants Find the probability of selecting someone who got a result that is a false positive. Who would suffer from a false positive result? Why?

Short Answer

Expert verified

The probability of selecting a person who got a false positive result is 0.0450.

The candidate will suffer from a false positive result because of the risk of losing the job despite not using drugs.

Step by step solution

01

Given information

In a sample, 555 subjects are tested for drug use and classified into four different categories.

One subject is selected at random.

02

Define probability

Probability is a measure that quantifies the likelihood of the occurrence of an event.

Mathematically, it can be written as

PE=NumberoffavourableoutcomesofETotalnumberofoutcomes

03

Calculate the probability 

Let E be the event that a randomly selected person got a false positive result.

The total number of persons who got tested is 555.

The number of persons who got a false positive test result is 25.

The probability of eventA is

PA=NumberofpersonswhotestedfalsepositiveTotalnumberofpersons=25555=0.04504

Therefore, the probability of selecting a person who got a false positive test result is 0.0450.

04

Discuss the impact of the result

A false positive result implies that the person is tested positive for using drugs when they do not use them.

The randomly selected person who tests false positive will suffer as they would risk losing the job.

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Most popular questions from this chapter

In Exercises 9鈥20, use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table.

惭肠顿辞苍补濒诲鈥檚

Burger King

奥别苍诲测鈥檚

Taco Bell

Order Accurate

329

264

249

145

OrderNotAccurate

33

54

31

13

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Purchased Gum

Kept the Money

Students Given A \(1 bill

27

46

Students Given a \)1 bill

12

34

Denomination Effect

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