Question

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 decimal places. (Tree diagram)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
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...
It’s known that 3 % of people in a certain population have the disease. A blood...
It’s known that 3 % of people in a certain population have the disease. A blood test gives a positive result (indicating the presence of disease) for 90% of people who have the disease, and it is also positive for 5% of healthy people One person is tested and the test gives positive result If the test result is positive for the person, then the probability that this person actually has a disease is _________ If the test result is...
A hospital is testing patients for a certain disease. If a patient has the disease, the...
A hospital is testing patients for a certain disease. If a patient has the disease, the test is designed to return a "positive" result. If a patient does not have the disease, the test should return a "negative" result. No test is perfect though. 90% of patients who have the disease will test positive. 10% of patients who don’t have the disease will also test positive. 20% of the population in question has the disease. If a random patient tests...
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...
Suppose four out of every 10,000 individuals in a country has a rare disease. a test...
Suppose four out of every 10,000 individuals in a country has a rare disease. a test for the disease exist. individuals known to have the disease test positive 96% of the time individuals known to be free of the disease test negative 96% of the time. Suppose an individual from the country is selected at random( with all being equally likely to be selected) and given the test . Given that the individuals test positive what is the probability that...
3.9% of a secluded island tribe are infected with a certain disease. There is a test...
3.9% of a secluded island tribe are infected with a certain disease. There is a test for the​ disease, however the test is not completely accurate.​ 92% of those who have the disease will test positive. However​ 4.4% of those who do not have the disease will also test positive​ (false positives). Use a tree diagram to find the probability that any given person will test positive. Round your answer to three decimal places if necessary.
A diagnostic test for disease X correctly identifies the disease 94% of the time. False positives...
A diagnostic test for disease X correctly identifies the disease 94% of the time. False positives occur 14%. It is estimated that 0.95% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.) The percentage chance that the test will be positive = % The probability that, given a positive result, the person has disease X = % The...
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).
Suppose 1 in 25 adults is afflicted with a disease for which a new diagnostic test...
Suppose 1 in 25 adults is afflicted with a disease for which a new diagnostic test has been developed. Given that an individual actually has the disease, a positive test result will occur with probability .99. Given that an individual does not have the disease, a negative test result will occur with probability .98. Use a probability tree to answer the following questions. Question 1. What is the probability of a positive test rest result? Question 2. If a randomly...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT