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3. Assume 6% of people have a certain disease. A test gives correct diagnosis with probability...
It’s known that 2 % of people in a certain population have the disease. A blood...
It’s known that 2 % of people in a certain population have the disease. A blood test gives a positive result (indicating the presence of disease) for 95% of people who have the disease, and it is also positive for 3% of healthy people. One person is tested and the test gives positive result. a. If the test result is positive for the person, then the probability that this person actually has a disease is _________ b. If the test...
Assume that 0.1% of people from a certain population have a germ. A test gives false...
Assume that 0.1% of people from a certain population have a germ. A test gives false positive in 10% of cases when the person does not have this germ. This test gives false negative in 20% of cases when this person has this germ. Suppose you pick a random person from the population and apply this test twice. Both time it gives you positive result. What is the probability that this person actually has this germ?
A test for a certain disease provides a correct diagnosis (gives a positive result, when the...
A test for a certain disease provides a correct diagnosis (gives a positive result, when the patient has the disease) with probability 0.97, and wrongly diagnoses (gives a positive result, when the patient doesn’t have the disease) with probability 0.02. It is known that the disease is rare: published figures indicate it occurs in only 3 per 1000 individuals. Suppose that a randomly chosen individual is given the test. Calculate the probability (to at least four decimal places) that: (a)...
3) A certain blood test for a disease gives a positive result 90% of the time...
3) A certain blood test for a disease gives a positive result 90% of the time among patients having the disease. It also gives a positive result 25% of the time among people who do not have the disease. It is believed that 30% of the population has this disease a) What is the probability that a person with a positive test result indeed has the disease? b) What is the probability that the blood test gives a negative result?...
A medical test has been designed to detect the presence of a certain disease. Among people...
A medical test has been designed to detect the presence of a certain disease. Among people who have the disease, the probability that the disease will be detected by the test is 0.94. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.05. It is estimated that 6% of the population who take this test have the disease. (Round your answers to three decimal places.) (a)...
In a laboratory, blood test is 95% effective in detecting a certain disease, when it is,...
In a laboratory, blood test is 95% effective in detecting a certain disease, when it is, in fact, present. However, the test also yields a false positive (test is positive but patient does not have the disease) result for 1% of the healthy people tested. 0.5% of the population actually has the disease. Given this information, calculate the following probabilities: The probability that the test is positive. Given a negative result, the probability that the person does not have the...
Question 10: (10 marks) blood test is 95 percent effective in detecting a certain disease when it is, in fact, also...
Question 10: (10 marks) blood test is 95 percent effective in detecting a certain disease when it is, in fact, also yields a "false positive" result for 10 percent of the healthy persons A laboratory present. However, the test tested. (That is, if a healthy person is tested, then, with probability 0.10, the test result will imply he or she has the disease.) If 0.7 percent of the population actually has the disease, what is the probability a person has...
The proportion of people in a given community who have a certain disease is 0.005. A...
The proportion of people in a given community who have a certain disease is 0.005. A test is available to diagnose the disease. If a person has the disease, the probability that the test will produce a positive signal is 0.96. If a person does not have the disease, the probability that the test will produce a positive signal is 0.04. 1. If a man tests negative, what is the probability that he actually has the disease? 2. For many...
The proportion of people in a given community who have a certain disease is 0.005. A...
The proportion of people in a given community who have a certain disease is 0.005. A test is available to diagnose the disease. If a person has the disease, the probability that the test will produce a positive signal is 0.99. If a person does not have the disease, the probability that the test will produce a positive signal is 0.01 a. If a person tests positive, what is the probability that the person has the disease? b. If a...
A disease affects 16% of the population. There is a test (not perfect) that detects disease...
A disease affects 16% of the population. There is a test (not perfect) that detects disease with a probability of 98% (i.e comes back positive when the person has the disease). However, the test produces 5% false positives, i.e comes back positive even though the person does not have the disease. i) A person who has the disease is tested, what is the probability that the test will come back negative. ii) What is the probability that a randomly selected...
3) A certain blood test for a disease gives a positive result 90% of the time among patients having the disease. It also gives a positive result 25% of the time among people who do not have the disease. It is believed that 30% of the population has this disease a) What is the probability that a person with a positive test result indeed has the disease? b) What is the probability that the blood test gives a negative result?...
Question 10: (10 marks) blood test is 95 percent effective in detecting a certain disease when it is, in fact, also yields a "false positive" result for 10 percent of the healthy persons A laboratory present. However, the test tested. (That is, if a healthy person is tested, then, with probability 0.10, the test result will imply he or she has the disease.) If 0.7 percent of the population actually has the disease, what is the probability a person has...
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