There is a brand new blood test for a certain virus that will
determine whether you have been exposed to the virus. It is known
that in the population, 7.3% have been exposed to the virus. If the
patient has been exposed to the virus, then the test returns
• positive 63% of the time
• negative 23% of the time
• INCONCLUSIVE 14% of the time
If the patient hasn't been exposed to the virus, then the test
returns
• negative 91.5% of the time
• positive 1.5% of the time
• INCONCLUSIVE 7.0% of the time
(a) What is the probability that you get an INCONCLUSIVE
result?
(b) What is the probability of a true positive? A false negative?
There is a brand new blood test for a certain virus that will determine whether you...
A certain affects virus 0.9% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. Infected Not Infected Total Positive Test Negative Test Total 900 99,100 100,000 a) Find the probability...
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...
A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 80% of the time when the person has the virus and 15 % of the time when the person does not have the virus. (This 15 % result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive." (a) Using Bayes' Theorem, when a person tests...
A certain virus infects one in every 250 people. A test used to detect the virus in a person is positive 80% of the time when the person has the virus and 15% of the time when the person does not have the virus. (This 15% result is called a false positive) Let A be the event "the person is infected" and B be the event "the person tests positive." (a) Using Bayes' Theorem, when a person tests positive, determine...
A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 80% of the time if the person has the virus and 5% of the time if the person does not have the virus. (This 5% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive". a) Find the probability that a person has the virus...
A certain virus infects one in every 500 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 10% of the time if the person does not have the virus. Let A be the event "the person is infected" and B be the event "the person tests positive." (a) Find the probability that a person has the virus given that they have tested positive. (b)...
A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 90% of the time when the person has the virus and 15% of the time when the person does not have the virus. (This 15% result is called a false positive.) Let A be the event the person is infected" and B be the event the person tests positive." (a) Using Bayes' Theorem, when a person tests positive, determine...
A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 8% of the time if the person does not have the virus. (This 8% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive". a) Find the probability that a person has the virus...
Elisa Test The standard test for the HIV virus is the Elisa test, which tests for the presence of HIV antibodies. If an individual does not have the HIV virus, the test will come back negative for the presence of HIV antibodies 99.8% of the time and will come back positive for the presence of HIV antibodies 0.2% of the time (a false positive). If an individual has the HIV virus, the test will come back positive 99.8% of the...
A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 80% of the time if the person has the virus and 5% of the time if the person does not have the virus. Using Bayes' Rule, if a person tests positive, determine the probability the person has the virus. Round to four decimal places.