Rescarch has shown that specific biochemical markers are found exclusively in the breath of patients with lung cancer. However, no lab test can currently distinguish the breath of lung cancer patients from that of other subjects. Could dogs be trained to identify these markers in specimens of human breath, as they can be to detect illegal substances or to follow a person's scent? An experiment trained dogs to distinguish breath specimens of lung cancer patients from breath specimens of control individuals by using a food-reward training method. After the training was complete, the dogs were tested on new breath specimens without any reward or clue using a double-blind, completely randomized design. The results for a random sample of 1291 breath specimens are provided.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 14CR
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Rescarch has shown that specific biochemical markers are found exclusively in the breath of patients with lung cancer, However,
no lab test can currently distinguish the breath of lung cancer patients from that of other subjects. Could dogs be trained to
identify these markers in specimens of human breath, as they can be to detect illegal substances or to follow a person's scent? An
experiment traincd dogs to distinguish breath specimens of lung cancer patients from breath specimens of control individuals by
using a food-reward training method. After the training was complete, the dogs were tested on new breath specimens without any
reward or clue using a double-blind, completely randomized design. The results for a random sample of 1291 breath specimens
are provided.
Note: The numerical values in this problem have been modified for testing purposes.
Breath Specimen
Cancer Subject
Dog Test Result
Negative
Control Subject
Total
715
10
725
Positive
562
566
Total
719
572
1291
(a) The sensitivity of a diagnostic test is its ability to correctly give a positive result when a person tested has the discase, or
P(positive test | discase). Find the sensitivity of the dog cancer-detection test for lung cancer. Give your answer to four
decimal places.
P(positive test | discase) =
Transcribed Image Text:Rescarch has shown that specific biochemical markers are found exclusively in the breath of patients with lung cancer, However, no lab test can currently distinguish the breath of lung cancer patients from that of other subjects. Could dogs be trained to identify these markers in specimens of human breath, as they can be to detect illegal substances or to follow a person's scent? An experiment traincd dogs to distinguish breath specimens of lung cancer patients from breath specimens of control individuals by using a food-reward training method. After the training was complete, the dogs were tested on new breath specimens without any reward or clue using a double-blind, completely randomized design. The results for a random sample of 1291 breath specimens are provided. Note: The numerical values in this problem have been modified for testing purposes. Breath Specimen Cancer Subject Dog Test Result Negative Control Subject Total 715 10 725 Positive 562 566 Total 719 572 1291 (a) The sensitivity of a diagnostic test is its ability to correctly give a positive result when a person tested has the discase, or P(positive test | discase). Find the sensitivity of the dog cancer-detection test for lung cancer. Give your answer to four decimal places. P(positive test | discase) =
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