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Chapter 5: Q. 4 (page 309)

Liar, liar! Sometimes police use a lie detector test to help determine whether a suspect is

telling the truth. A lie detector test isn鈥檛 foolproof鈥攕ometimes it suggests that a person is

lying when he or she is actually telling the truth (a 鈥渇alse positive鈥�). Other times, the test

says that the suspect is being truthful when he or she is actually lying (a 鈥渇alse negative鈥�).

For one brand of lie detector, the probability of a false positive is 0.08.

a. Explain what this probability means.

b. Which is a more serious error in this case: a false positive or a false negative? Justify

your answer.

Short Answer

Expert verified

a) The probability of the mammogram's false-negative rate must be interpreted.

b) We predict that around of people who take a8%(or0.08) polygraph.

Step by step solution

01

Part (a) Step 1: Given information

We have to tell what this probability means.

02

Part (a) Step 2: Explanation

  • The probability of the mammogram's false-negative rate must be interpreted.
  • The test says that the suspect is being truthful
03

Part (b) Step 1: Given information

We have to tell which is a more serious error in this case

04

Part (b) Step 2: Explanation

  • We predict that around 8%(or0.08)of people who take a polygraph.
  • The truth will have the polygraph show that they lie.

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