Question

Refer to the sample data for polygraph tests shown below. If one of the test subjects is randomly selected, what is the probability that the subject is not lying? Is the result close to the probability of

0.449

for a negative test result?

No (Did Not Lie) Yes (Lied)

Positive test results 14 40

Negative test results 33 11

The probability that a randomly selected polygraph test subject was not lying is

nothing.

(Type an integer or decimal rounded to three decimal places as needed.)

Is the result close to the probability, rounded to three decimal places, of

0.449

for a negative test result?

▼

No,

Yes,

because there is

▼

more than

less than

exactly

a 0.050 absolute difference between the probability of a true response and the probability of a negative test result.

Answer #1

Solution:

No (Did Not Lie) Yes (Lied) total

Positive test results 14 40 54

Negative test results 33 11 44

total 47 51 98

*L* as the randomly selected polygraph test subject was
not lying, the event *N* as the randomly selected test is
negative test.

The total number of possible ways is 98

N(S) =98

number of possible ways that a randomly selected polygraph test subject was not lying is = 14 +33 = 47

The required probability is, N(L) / N(S) = 47/98 = 0.479

The number of possible ways that a randomly selected test is negative test is,

N(N)= 33 + 11 =44

The required probability

P(N) = 44/98 =0.4489

Yes, because there is less than a 0.050 absolute difference between the probability of a true response and the probability of a negative test result.

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No (did not lie)
Yes (did lie)
Polygraph test indicated that the subject lied.
15
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Polygraph test indicated that the subject did not lie.
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LOADING...
Click the icon to view the table....

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experiments conducted by researchers. In each case, it was known
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QUESTION 91
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