Question

Assume that the test for some disease is 99% accurate. If somebody tests positive for that...

Assume that the test for some disease is 99% accurate. If somebody tests positive for that disease, is there a 99% chance that they have the disease? Suppose that the rate of the disease in the population is 0.01. Then, what is P(Disease | Test positive)?

Homework Answers

Answer #1

TOPIC:Application of the Bayes' theorem.

(For part-(ii),The Bayes' theorem has been used.)

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
For disease X, there’s a new rapid and accurate test in the market. The sensitivity of...
For disease X, there’s a new rapid and accurate test in the market. The sensitivity of the test is 90% (probability to correctly detect disease X with positive test result), and the specificity of the test is 99% (probability to correctly give negative result for disease X free case). The prevalence of the disease is 0.01% in the population. Write in as percentage without percentage sign and with three decimal places. What is Pr[ X | positive ]? (i.e. probability...
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...
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...
Suppose you are analyzing a test for a blood disease where • 94% of people with...
Suppose you are analyzing a test for a blood disease where • 94% of people with the disease test positive. • Only 0.5% of the population has this disease. • The false-positive rate is 0.1%. (a) What is the test’s precision, that is the probability that a person with a positive test has the disease? (b) What is the accuracy of the test, that is the probability that either a person tests positive AND has the disease OR a person...
5. In medical tests the prevalence of a disease in a given population is the percentage...
5. In medical tests the prevalence of a disease in a given population is the percentage of the population that has the disease. For a population with a known prevalence, the positive predictive value (PPV) of a test is the probability that a person in the population that tests positive actually has the disease. The negative predictive value (NPV) of a test is the probability that a person in the population who tests negative, in fact, does not have the...
A diagnostic test for a certain disease is said to be 90% accurate in that, if...
A diagnostic test for a certain disease is said to be 90% accurate in that, if a person has the disease, the test will detect it with a probability of 0.9. Also, if a person does not have the disease, the test will report that he or she does not have it with a probability of 0.9. Only 1% of the population has the disease in question. If a person is chosen at random from the population and the diagnostic...
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...
The prevalence of a disease D among the population is 3%. There is a diagnostic test...
The prevalence of a disease D among the population is 3%. There is a diagnostic test for disease D. The sensitivity of this test is 99%, this means that the test is positive given that the person has the disease. The specificity of this test is 98%, this means that the test is negative given that the person does not have the disease. a) Given that a person tests positive, what is the probability that the person does not have...
A diagnostic test for a certain disease is believed to be 90% accurate in detecting the...
A diagnostic test for a certain disease is believed to be 90% accurate in detecting the disease when in fact the person has the disease. Also, the test is believed to be 90% accurate in denying the disease when in fact the person does not have it. Only 1% of the population has the disease. A person is selected at random and the diagnostic test confirms the presence of the disease, what is the probability that the person actually has...
The test for a disease has a false positive rate of 5% and a false negative...
The test for a disease has a false positive rate of 5% and a false negative rate of 3%.  Suppose a person to be test has the disease with probability 20%. If the test is positive, what is the revised probability that the person has the disease? If the test is negative, what is the revised probability that the person has the disease? If the test is negative, what is the revised probability that the person does not have the disease?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT