A test for a certain disease has the approximately probabilities
of getting a positive or negative test result based on whether the
person has or does not have the disease.
| Test | Results | |
| Positive | Negative | |
| Has the Disease | 0.95 | 0.05 |
| Does not have the disease | 0.01 | 0.99 |
Based on previous records, the probability of a person having the
disease is 0.04. If a person is chosen at random, what is the
probability of getting a positive result?
A test for a certain disease has the approximately probabilities of getting a positive or negative...
A diagnostic test for a certain disease is said to be 95% accurate in that, if a person has the disease, the test will detect it with probability 0.95. Also, if a person does not have the disease, the test will report that he or she does not have it with probability 0.99. Only 1% of the population has the disease in question. If a person is chosen at random from the population and the diagnostic test indicates that she...
It has been found that 0.01% of the world population has a certain disease. If a person has the disease, there is a 95% chance they will test positive for the disease. If a person does not have the disease, there is a 5% chance they will test positive for the disease. (a) What is the probability that a person chosen at random will both have the disease and test positive? 0.000095 (or 9.5 x 10-5) (b) What is the...
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?...
For a particular disease, the probability of having the disease in a particular population is 0.04. If someone from the population has the disease, the probability that she/he tests positive of this disease is 0.95. If this person does not have the disease, the probability that she/he tests positive is 0.01. What is the probability that a randomly selected person from the population has a positive test result?
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...
Problem Nine A test for a certain disease was given to 1,000 subjects, 8% of whom were known to have the disease. For the subjects who had the disease, the test had a positive result for the disease in 90% of the subjects, was inconclusive for 7% and a negative result in 3% of the subjects. For subjects who did not have the disease, the test had a positive result in 5% of subjects, was inconclusive in 10% and a...
In screening for a certain disease, the probability that a healthy person wrongly gets a positive result is 0.05. The probability that a diseased person wrongly gets a negative result is 0.002. The overall rate of the disease in the population being screened is 1%. If my test gives a positive result, what is the probability I actually have the disease?
Problem Nine A test for a certain disease was given to 1,000 subjects, 8% of whom were known to have the disease. For the subjects who had the disease, the test had a positive result for the disease in 90% of the subjects, was inconclusive for 7% and a negative result in 3% of the subjects. For subjects who did not have the disease, the test had a positive result in 5% of subjects, was inconclusive in 10% and 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 test has been developed to diagnose certain disease. The following information is available: 0.6 % of the population have the disease When a person has the disease, the probability that the test gives a (+) signal is 0.96 When a person does not have the disease, the probability that the test gives a (-) signal is 0.04 a) If your test result is (+), what is the probability that you actually have the disease? b) If your test result is...