Question

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 tests negative AND does not have the disease?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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...
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...
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...
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?...
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 certain deadly disease occurs in 1 percent of the population. A blood test for this...
A certain deadly disease occurs in 1 percent of the population. A blood test for this disease has a 2 percent false positive rate, and a 5 percent false negative rate (i.e., 2 percent of those not having the disease test positive, and 5 percent of those having the disease test negative). Suppose you want to put your mind at ease and take the blood test. a) If you have the disease, what is the probability you would correctly get...
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...
To determine whether or not they have a certain disease, 160 people are to have their...
To determine whether or not they have a certain disease, 160 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 10. The blood samples of the 10 people in each group will be pooled and analyzed together. If the test is negative. one test will suffice for the 10 people (we are assuming that the pooled test will be positive if and only...
A person takes a test to detect the occurence of a disease. The test’s characteristics are...
A person takes a test to detect the occurence of a disease. The test’s characteristics are such that a person testing positive has actually a 70% chance actually having contracted the disease. Meaning that a person not having contracted the disease has a 30% chance of testing positive to it. The test’s results are used to allow a person to exit a quarantine – because having the disease makes them immune to it and they are no longer in risk...
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?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT