/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q22 In Exercises 21鈥24, refer to t... [FREE SOLUTION] | 魅影直播

魅影直播

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.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 魅影直播!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Exercises 5鈥36, express all probabilities as fractions.

Powerball As of this writing, the Powerball lottery is run in 44 states. Winning the jackpot requires that you select the correct five different numbers between 1 and 69 and, in a separate drawing, you must also select the correct single number between 1 and 26. Find the probability of winning the jackpot.

In Exercises 5鈥36, express all probabilities as fractions.

Soccer Shootout In soccer, a tie at the end of regulation time leads to a shootout by three members from each team. How many ways can 3 players be selected from 11 players available? For 3 selected players, how many ways can they be designated as first, second, and third

Identifying Probability Values Which of the following are probabilities?

0 3/5 5/3 -0.25 250% 7:3 1 50-50 5:1 0.135 2.017

In Exercises 25鈥32, find the probability and answer the questions.

Genetics: Eye Color Each of two parents has the genotype brown/blue, which consists of the pair of alleles that determine eye color, and each parent contributes one of those alleles to a child. Assume that if the child has at least one brown allele, that color will dominate and the eyes will be brown. (The actual determination of eye color is more complicated than that.)

a. List the different possible outcomes. Assume that these outcomes are equally likely.

b. What is the probability that a child of these parents will have the blue/blue genotype?

c. What is the probability that the child will have brown eyes?

In Exercises 21鈥24, use these results from the 鈥1-Panel-THC鈥 test for marijuana use, which is provided by the company Drug Test Success: Among 143 subjects with positive test results, there are 24 false positive results; among 157 negative results, there are 3 false negative results. (Hint: Construct a table similar to Table 4-1, which is included with the Chapter Problem.)

Testing for Marijuana Use If one of the test subjects is randomly selected, find the probability that the subject tested positive or did not use marijuana.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.