There was a study done to test using a fever of 38 degrees Celsius or higher as an indicator of postoperative collapse of the lung. The results are shown below. Collapsed Lung Healthy Lung High Fever 72 37 109 Normal Fever 82 79 161 154 116 270 a) Find the sensitivity of the test, i.e. find the probability of a high fever given the lung has collapsed. b) Find the probability of a false-negative, i.e. find the probability of no fever given the lung has collapsed. c) Find the specificity of the test, i.e. find the probability of no fever given the lung is normal. Find the predictive value of the test, i.e. find the probability that the lung has collapsed and the patient has a high fever. d) e) Find the probability that you choose 3 patients that have a high fever and they all have a collapsed lung. With this information, is a high fever a good indication of a patient having a collapsed lung? f)
There was a study done to test using a fever of 38 degrees Celsius or higher as an indicator of postoperative collapse of the lung. The results are shown below. Collapsed Lung Healthy Lung High Fever 72 37 109 Normal Fever 82 79 161 154 116 270 a) Find the sensitivity of the test, i.e. find the probability of a high fever given the lung has collapsed. b) Find the probability of a false-negative, i.e. find the probability of no fever given the lung has collapsed. c) Find the specificity of the test, i.e. find the probability of no fever given the lung is normal. Find the predictive value of the test, i.e. find the probability that the lung has collapsed and the patient has a high fever. d) e) Find the probability that you choose 3 patients that have a high fever and they all have a collapsed lung. With this information, is a high fever a good indication of a patient having a collapsed lung? f)
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Please answer questions d , e and f for me
![There was a study done to test using a fever of 38 degrees Celsius or higher as an indicator of
postoperative collapse of the lung. The results are shown below.
Collapsed Lung Healthy Lung
High Fever
72
37
109
Normal Fever
82
79
161
154
116
270
a)
Find the sensitivity of the test, i.e. find the probability of a high fever given the lung has
collapsed.
b)
Find the probability of a false-negative, i.e. find the probability of no fever given the lung
has collapsed.
c)
Find the specificity of the test, i.e. find the probability of no fever given the lung is normal.
Find the predictive value of the test, i.e. find the probability that the lung has collapsed
and the patient has a high fever.
d)
e)
Find the probability that you choose 3 patients that have a high fever and they all have a
collapsed lung.
f)
With this information, is a high fever a good indication of a patient having a collapsed
lung?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faea0cfeb-d759-4aa5-b2d1-0111d15ac639%2Fe69be977-75f4-4d36-ade9-ed814d2b69b1%2Fusuo27_processed.jpeg&w=3840&q=75)
Transcribed Image Text:There was a study done to test using a fever of 38 degrees Celsius or higher as an indicator of
postoperative collapse of the lung. The results are shown below.
Collapsed Lung Healthy Lung
High Fever
72
37
109
Normal Fever
82
79
161
154
116
270
a)
Find the sensitivity of the test, i.e. find the probability of a high fever given the lung has
collapsed.
b)
Find the probability of a false-negative, i.e. find the probability of no fever given the lung
has collapsed.
c)
Find the specificity of the test, i.e. find the probability of no fever given the lung is normal.
Find the predictive value of the test, i.e. find the probability that the lung has collapsed
and the patient has a high fever.
d)
e)
Find the probability that you choose 3 patients that have a high fever and they all have a
collapsed lung.
f)
With this information, is a high fever a good indication of a patient having a collapsed
lung?
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