Question
Suppose that the probability of having a particular disease is 0.05. Suppose that the probability of...
Suppose that the probability of having a particular disease is 0.05. Suppose that the probability of testing positive for the disease is 0.95 given that a person has the disease and 0.04 given that the person does not have the disease. Given that a person tests positive for the disease, what is the probability that they actually have the disease? (Answer to four decimal places).
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
It is known that, on average, one hundred people (1 in 100) have a particular disease....
It is known that, on average, one hundred people (1 in 100) have
a particular disease. A diagnostic test is devised to screen for
this disease. A positive result is one that suggests that the
person has the disease, and a negative result is one that suggests
that the person does not have the disease. The possibility of
errors in the test gives the following result probabilities:
For a person who has the disease, the probability of a positive
result...
The probability that a person has a certain disease is 0.03 Medical diagnostic tests are available...
The probability that a person has a certain disease is 0.03
Medical diagnostic tests are available to determine whether the
person actually has the disease. If the disease is actually
present, the probability that the medical diagnostic test will give
a positive result (indicating that the disease is present) is
0.88 If the disease is not actually present, the probability of a
positive test result (indicating that the disease is present) is
0.02
a. If the medical diagnostic test has...
Suppose that 14% of the patients in a small town are known to have heart disease....
Suppose that 14% of the patients in a small town are known to
have heart disease. And suppose that a test is available that is
positive in 97% of the patients with heart disease but is also
positive in 6% of patients who do not have heart disease. If a
person is selected at random and given the test and it comes out
positive, what is the probability that the person actually has
heart disease? Round your answer to 4...
test for a certain disease is found to be 95% accurate, meaning that it will correctly...
test for a certain disease is found to be 95% accurate, meaning
that it will correctly diagnose the disease in 95 out of 100 people
who have the ailment. The test is also 95% accurate for a negative
result, meaning that it will correctly exclude the disease in 95
out of 100 people who do not have the ailment. For a certain
segment of the population, the incidence of the disease is 4%.
(1) If a person tests positive, find...
The probability that a person has a certain disease is 2%. Medical diagnostic tests are available...
The probability that a person has a certain disease is 2%.
Medical diagnostic tests are available to determine whether the
person actually has the disease. If the disease is actually
present, the probability that the medical diagnostic tests will
give a positive result (correct diagnosis) is 95%. If the disease
is not actually present, the probability of a positive test result
(incorrect diagnosis) is 0.5%. Suppose that the medical diagnostic
test shows a positive result, (a) What is the probability...
The probability that a person has a certain disease is 0.03 Medical diagnostic tests are available...
The probability that a person has a certain disease is 0.03
Medical diagnostic tests are available to determine whether the
person actually has the disease. If the disease is actually
present, the probability that the medical diagnostic test will give
a positive result (indicating that the disease is present) is
0.92
If the disease is not actually present, the probability of a
positive test result (indicating that the disease is present) is
0.02
a. If the medical diagnostic test has...
The probability that a person has a certain disease is 0.30. Medical diagnostic tests are available...
The probability that a person has a certain disease is 0.30.
Medical diagnostic tests are available to determine whether the
person has the disease. If the disease is actually present, the
probability that the medical diagnostic test will give a positive
result (indicating that the disease is present) is 0.92. If the
disease is not actually present, the probability of a positive
test result (indicating that the disease is present) is 0.01.If
the medical diagnostic test has given a positive...
Suppose you are analyzing a test for a blood disease where • 94% of people with...
Suppose you are analyzing a test for a blood disease where
• 94% of people with the disease test positive.
• Only 0.5% of the population has this disease.
• The false-positive rate is 0.1%.
(a) What is the test’s precision, that is the probability that a
person with a positive test has the disease?
(b) What is the accuracy of the test, that is the probability
that either a person tests positive AND has the disease OR a person...
Most medical tests used today have about a 5% false positive rate, which some doctors will...
Most medical tests used today have about a 5% false positive
rate, which some doctors will take to mean that if a patient’s test
comes back positive, that the patient has a 95% chance of having
the disease. A 95% chance is very high, and so the doctor will
assume that the patient has the disease and will start an
aggressive and potentially dangerous course of treatment. For your
first problem, you will show that, for rare diseases, this common...
The prevalence of a disease D among the population is 3%. There is a diagnostic test...
The prevalence of a disease D among the population is 3%. There
is a diagnostic test for disease D. The sensitivity of this test is
99%, this means that the test is positive given that the person has
the disease. The specificity of this test is 98%, this means that
the test is negative given that the person does not have the
disease.
a) Given that a person tests positive, what is the probability
that the person does not have...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 3 minutes ago
asked 16 minutes ago
asked 18 minutes ago
asked 22 minutes ago
asked 27 minutes ago
asked 36 minutes ago
asked 41 minutes ago
asked 47 minutes ago
asked 48 minutes ago
asked 54 minutes ago
asked 1 hour ago
asked 1 hour ago