Question
In: Math
A diagnostic test either provides a + result (has the disease) or - result (does not...
A diagnostic test either provides a + result (has the disease) or - result (does not have the disease). 5% of the population has the disease. For a patient with the disease, 75% will test (+)/ 25% will test (-). For a patient that does not have the disease, 15 % will test (+)/ 85% will test (-).
Part A) If everyone in the population is tested, what proportion of the test results will be positive?
Part B) For a patient who gets a Positive result, what is the probability of having the disease?
Solutions
milcah answered 3 months agoRelated Solutions
A diagnostic test for a disease has a true positive rate of 98% and a true...
A diagnostic test for a disease has a true positive rate of 98%
and a true negative rateof 94%. Suppose the overall disease rate in
the population is 1%. That is,•Pr(Positive Test|Patient has
Disease) = 0.98,•Pr(Negative Test|Patient does NOT have Disease) =
0.94,•Pr(Patient has Disease) = 0.01.a) What is the probability of
a patient without the disease testing positive? b) Find the
probability that a patient has the disease given that they tested
positive.That is, findPr(Patient has Disease|Positive Test).
A diagnostic test has a probability of 92% of giving a positive result when applied to...
A diagnostic test has a probability of 92% of giving a positive
result when applied to a person suffering from a certain disease.
The test has a probability of 5% of giving a false positive when
applied to a non-sufferer. If 6% of the population suffer from the
disease, what is the probability of a positive test result?
A diagnostic test has a probability 0.95 of giving a positive result when applied to a...
A diagnostic test has a probability 0.95 of giving a positive
result when applied to a
person suffering from a certain disease, and a probability 0.10
of giving a (false) pos-
itive when applied to a non-sufferer. It is estimated that 0.5%
of the population are
sufferers. Suppose that the test is now administered to a person
about whom we have
no relevant information relating to the disease (apart from the
fact that he/she comes
from this population). Calculate the...
A diagnostic test has a 95% probability of giving a positive result when given to a...
A diagnostic test has a 95% probability of giving a positive
result when given to a person who has a certain disease. It has a
10% probability of giving a (false) positive result when given to a
person who doesn’t have the disease. It is estimated that 15% of
the population suffers from this disease.
(a) What is the probability that a test result is positive?
(b) A person recieves a positive test result. What is the
probability that this...
28. A diagnostic test has a probability 0.95 of giving a positive result when applied to...
28.
A diagnostic test has a probability 0.95 of giving a positive
result when applied to a person suffering from a certain disease,
and a probability 0.10 of giving a (false) positive when applied to
a non-sufferer. It is estimated that 0.5 % of the population are
sufferers. Suppose that the test is now administered to a person
about whom we have no relevant information relating to the disease
(apart from the fact that he/she comes from this population).
Calculate...
A diagnostic test for a certain disease is applied to n individuals known to not have...
A diagnostic test for a certain disease is applied to n individuals known to not have the disease. Let X = the number among the n test results that are positive indicating presence of the disease, so X is the number of false positives) and p = the probability that a disease-free individual's test result is positive (i.e., p is the true proportion of test results from disease-free individuals that are positive). Assume that only X is available rather than...
Consider a diagnostic test for a hypothetical disease based on measuring the amount of a certain...
Consider a diagnostic test for a hypothetical disease based on
measuring the amount of a
certain biomarker present in blood. High levels of the biomarker
are often found in individuals
with the disease, but a number of non-disease conditions can
also cause high levels
of the biomarker. Individuals without the disease have biomarker
levels that are normally
distributed with mean 1.6 ng/mL (nanograms per milliliter of
blood), and standard deviation
0.50 ng/mL. Individuals with the disease have biomarker levels
that...
Consider a diagnostic test for a hypothetical disease based on measuring the amount of a certain...
Consider a diagnostic test for a hypothetical disease based on
measuring the amount of a
certain biomarker present in blood. High levels of the biomarker
are often found in individuals
with the disease, but a number of non-disease conditions can
also cause high levels
of the biomarker. Individuals without the disease have biomarker
levels that are normally
distributed with mean 1.6 ng/mL (nanograms per milliliter of
blood), and standard deviation
0.50 ng/mL. Individuals with the disease have biomarker levels
that...
Consider a diagnostic test for a hypothetical disease based on measuring the amount of a certain...
Consider a diagnostic test for a hypothetical disease based on
measuring the amount of a certain biomarker present in blood. High
levels of the biomarker are often found in individuals with the
disease, but a number of non-disease conditions can also cause high
levels of the biomarker. Individuals without the disease have
biomarker levels that are normally distributed with mean 1.6 ng/mL
(nanograms per milliliter of blood), and standard deviation 0.50
ng/mL. Individuals with the disease have biomarker levels that...
Consider a diagnostic test for a hypothetical disease based on measuring the amount of a certain...
Consider a diagnostic test for a hypothetical disease based on
measuring the amount of a certain biomarker present in blood. High
levels of the biomarker are often found in individuals with the
disease, but a number of non-disease conditions can also cause high
levels of the biomarker. Individuals without the disease have
biomarker levels that are normally distributed with mean 1.6 ng/mL
(nanograms per milliliter of blood), and standard deviation 0.50
ng/mL. Individuals with the disease have biomarker levels that...
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