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(a) Using the relative frequency approximation of probabilities, what is the probability that the device is correct? Round your answer to 3 digits. P(result is correct) = (b) Suppose you are a woman about to take the test. Prior to taking the test, what is the probability of a false-positive? Round your answer to 3 digits. P(false positive) = (c) Suppose you are a woman who takes the test and it comes back positive. Now, what is the probability that the test result is wrong? Round your answer to 3 digits. P(not pregnant | positive test result) =

(a) Using the relative frequency approximation of probabilities, what is the probability that the device is correct? Round your answer to 3 digits. P(result is correct) = (b) Suppose you are a woman about to take the test. Prior to taking the test, what is the probability of a false-positive? Round your answer to 3 digits. P(false positive) = (c) Suppose you are a woman who takes the test and it comes back positive. Now, what is the probability that the test result is wrong? Round your answer to 3 digits. P(not pregnant | positive test result) =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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please answer question 11

QUESTION 11 A pregnancy testing device is used by 1000 different women from a population of women who think they might be pregnant. The results are depicted in the contingency table below. Here, a positive test result means pregnancy is detected. Positive Test Result Negative Test Result Was she actually pregnant? Yes No 482 6 11 501 (a) Using the relative frequency approximation of probabilities, what is the probability that the device is correct? Round your answer to 3 digits. P(result is correct) = (b) Suppose you are a woman about to take the test. Prior to taking the test, what is the probability of a false-positive? Round your answer to 3 digits. P(false positive) = (c) Suppose you are a woman who takes the test and it comes back positive. Now, what is the probability that the test result is wrong? Round your answer to 3 digits. P(not pregnant | positive test result) = (d) What statement is true about the probability of getting a false positive? (choose a, b, or c) a. The probability of a false positive decreases after a positive test result is obtained. The probability of a false positive is not affected by the result of the test. c. The probability of a false positive increases after a positive test result is obtained.
Transcribed Image Text:QUESTION 11 A pregnancy testing device is used by 1000 different women from a population of women who think they might be pregnant. The results are depicted in the contingency table below. Here, a positive test result means pregnancy is detected. Positive Test Result Negative Test Result Was she actually pregnant? Yes No 482 6 11 501 (a) Using the relative frequency approximation of probabilities, what is the probability that the device is correct? Round your answer to 3 digits. P(result is correct) = (b) Suppose you are a woman about to take the test. Prior to taking the test, what is the probability of a false-positive? Round your answer to 3 digits. P(false positive) = (c) Suppose you are a woman who takes the test and it comes back positive. Now, what is the probability that the test result is wrong? Round your answer to 3 digits. P(not pregnant | positive test result) = (d) What statement is true about the probability of getting a false positive? (choose a, b, or c) a. The probability of a false positive decreases after a positive test result is obtained. The probability of a false positive is not affected by the result of the test. c. The probability of a false positive increases after a positive test result is obtained.
Expert Solution
Step 1

From given data we have :

  Yes No total
positive test 482 11 493
negative test 6 501 507
total 488 512 1000

 

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