Question
Asked Sep 27, 2019

23. Composite Drug Test Based on the data in Table 4-1 on page 146, assume that the probability of a randomly selected person testing positive for drug use is 0.126. If drug screening samples are collected from 5 random subjects and combined, find the probability that the combined sample will reveal a positive result. Is that probability low enough so that further testing of the individual samples is rarely necessary?

Positive test Neaahive Test
Hepatitis c
33 5
No
1153
Hepatitis c
N
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Positive test Neaahive Test Hepatitis c 33 5 No 1153 Hepatitis c N

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Expert Answer

Step 1

Obtain the probability that randomly selected person testing negative for drug use:

It is given that probability of a randomly selected person testing positive for drug use is 0.126 and random sample of subject size is 5.

The required probability is,

Randomly selected
P person testing negative1-0.126
for drug use
0.874
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Randomly selected P person testing negative1-0.126 for drug use 0.874

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Step 2
  1. Obtain the probability that the combined sample will reveal a positive result:

The required probability is,

(Combined sample
(None of them
Pwil reveal a positive=1-reveal positiveresult )
result
1-(0.874)
=1-0.59
0.49
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(Combined sample (None of them Pwil reveal a positive=1-reveal positiveresult ) result 1-(0.874) =1-0.59 0.49

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Step 3
  1. Identify probability low enough so that further testing of the individual samples is rarely necessary or not:

Here the probability that the combined sample will reveal a positive result is 0.49 and which is greater than 0.05 so the probability is not low.

No, the p...

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