Question

In: Statistics and Probability

A test for a disease gives a correct positive result with a probability of 0.95 when...

A test for a disease gives a correct positive result with a probability of 0.95 when the disease is present but gives an incorrect positive result (false positive) with a probability of 0.15 when the disease is not present. If 5% of the population has the disease, and Jean tests positive to the test, what is the probability Jean really has the disease?

Solutions

Expert Solution

thank you.


Related Solutions

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...
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...
BAYES' FORMULA A test for a certain disease gives a positive result 95% of the time...
BAYES' FORMULA A test for a certain disease gives a positive result 95% of the time if the person actually carries the disease. However, the test also gives a positive result 3% of the time when the individual is not carrying the disease. It is known that 10% of the population carries the disease. If a person tests positive, what is the probability that he or she has the disease?
Find the probability of a correct result by finding the probability of a true positive or...
Find the probability of a correct result by finding the probability of a true positive or a true negative.
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 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...
a) The probability that a medical drug will cure a disease is 0.95 if the patient...
a) The probability that a medical drug will cure a disease is 0.95 if the patient has the disease. The probability reduces to 0.10 if the patient doses not have the disease. If 70% of people in a selected community have the disease, find the probability that a person who has been cured actually had the disease.                               [6 marks] b) A property sales agent estimates the probability of striking a deal will a client as follows: Sale values (K’000) 4...
71. Use the table below to find the probability. Positive Test Result Negative Test Result Subject...
71. Use the table below to find the probability. Positive Test Result Negative Test Result Subject Uses Drugs 44 (True Positive) 6 (False Negative) Subject is Not a Drug User 90 (False Positive) 860 (True Negative) A. If 2 of the 1000 test subjects are randomly selected, find the probability that both had false positive results. Assume that the 2 selections are made without replacement. (Round to 4 decimals) B. If 3 of the 1000 test subjects are randomly selected,...
If a patient has a disease there is a 93.8% chance that the test gives a...
If a patient has a disease there is a 93.8% chance that the test gives a correct positive response and if a patient does not have this disease, there is a 95.6% chance that the test gives a correct negative response. About 20 out of every 1000 members have the disease. i) A member has the disease given that they have a positive test response ii) A member has the disease given that they have a negative test response
A compound gives no reaction on the silver nitrate test( it was hexane), a positive on...
A compound gives no reaction on the silver nitrate test( it was hexane), a positive on 2,4-dnp test(Acetone and butanal), a negative test on the tollens test(acetone), and a negative on brominating test(hexane). what is the compound type?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT