Question

A new test for the diagnosis of a rare disease has a 93% probability of a...

A new test for the diagnosis of a rare disease has a 93% probability of a positive result if the patient is sick and a 83% probability of a negative result if the patient is not sick. We know that only 1% of the population has this rare disease. What is the probability that a patient is sick if the test is positive?

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
Suppose that a rare disease occurs in the general population in only one of every 10,000...
Suppose that a rare disease occurs in the general population in only one of every 10,000 people. A medical test is used to detect the disease. If a person has the disease, the probability that the test result is positive is 0.99. If a person does not have the disease, the probability that the test result is positive is 0.02. Given that a person’s test result is positive, find the probability that this person truly has the rare disease?
The probability that a person has a certain disease is 2%. Medical diagnostic tests are available...
The probability that a person has a certain disease is 2%. Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually present, the probability that the medical diagnostic tests will give a positive result (correct diagnosis) is 95%. If the disease is not actually present, the probability of a positive test result (incorrect diagnosis) is 0.5%. Suppose that the medical diagnostic test shows a positive result, (a) What is the probability...
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...
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...
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...
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...
A new diagnostic test is created to assist in detection of a rare disease. During development,...
A new diagnostic test is created to assist in detection of a rare disease. During development, a study is conducted to evaluate the effectiveness of this new test. The test is run on 100 known cases and 200 controls. Results indicate that 90 of the cases yield positive tests, as do 30 of the controls. 07. The Positive Predictive Value for this test indicates that: A. The likelihood that a positive test result is predictive of disease is 30/120, or...
A medical test is available to determine whether a patient has a certain disease. To determine...
A medical test is available to determine whether a patient has a certain disease. To determine the accuracy of the test, a total of 10,100 people are tested. Only 100 of these people have the disease, while the other 10,000 are disease free. Of the disease-free people, 9800 get a negative result, and 200 get a positive result. The 100 people with the disease all get positive results. Use this information as you answer the questions below. 1) Find the...
A screening test for a rare form of TB has a 7% false positive rate (i.e....
A screening test for a rare form of TB has a 7% false positive rate (i.e. indicates the presence of the disease in people who do not have it). The test has an 8% false negative rate (i.e. indicates the absence of the disease in people who do have it). In a population of which 0.6% have the disease, what is the probability that someone who tests positive has the disease?
A rare disease exists in 3% of the population. A medical test exists that can detect...
A rare disease exists in 3% of the population. A medical test exists that can detect (positive results) this disease 98% of the time for those who do, in fact have this disease. On the other hand, 5% of the time positive results will come back for those who do not have this disease. a. Draw a "tree diagram" illustrating this scenario. b. Determine the probability that a person will test positive. C. Determine the probability that a person who...