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Macmillan Learning Research 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. Note: The numerical values in this problem have been modified for testing purposes. Breath Specimen Dog Test Result Negative Control Subject Cancer Subject Total 715 10 725 Positive 4 562 566 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 disease, or P(positive test | disease). Find the sensitivity of the dog cancer-detection test for lung cancer. Give your answer to four decimal places. P(positive test | disease) =

Macmillan Learning Research 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. Note: The numerical values in this problem have been modified for testing purposes. Breath Specimen Dog Test Result Negative Control Subject Cancer Subject Total 715 10 725 Positive 4 562 566 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 disease, or P(positive test | disease). Find the sensitivity of the dog cancer-detection test for lung cancer. Give your answer to four decimal places. P(positive test | disease) =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
Problem 2EA
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O Macmillan Learning Research 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. Note: The numerical values in this problem have been modified for testing purposes. Breath Specimen Dog Test Result Negative Control Subject Cancer Subject Total Positive Total 715 4 10 725 562 566 719 572 1291 (a) The sensitivity of a diagnostic test is its ability to correctly give a positive result when a person tested has the disease, or P(positive test | disease). Find the sensitivity of the dog cancer-detection test for lung cancer. Give your answer to four decimal places. P(positive test | disease) =
Transcribed Image Text:O Macmillan Learning Research 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. Note: The numerical values in this problem have been modified for testing purposes. Breath Specimen Dog Test Result Negative Control Subject Cancer Subject Total Positive Total 715 4 10 725 562 566 719 572 1291 (a) The sensitivity of a diagnostic test is its ability to correctly give a positive result when a person tested has the disease, or P(positive test | disease). Find the sensitivity of the dog cancer-detection test for lung cancer. Give your answer to four decimal places. P(positive test | disease) =
P(positive test | disease) = (b) The specificity of a diagnostic test is the conditional probability that the subject tested doesn't have the disease, given that the test has come up negative. Find the specificity of the dog cancer-detection test for lung cancer. Give your answer to four decimal places. P(no disease | negative) =
Transcribed Image Text:P(positive test | disease) = (b) The specificity of a diagnostic test is the conditional probability that the subject tested doesn't have the disease, given that the test has come up negative. Find the specificity of the dog cancer-detection test for lung cancer. Give your answer to four decimal places. P(no disease | negative) =
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