Question

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 a positive test result Use TWO decimal places.

b) If you do NOT have the disease, what is the probability you would correctly get a negative test result? Use TWO decimal places.

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
Suppose that a certain disease is present in 10% of the population, and that there is...
Suppose that a certain disease is present in 10% of the population, and that there is a screening test designed to detect this disease if present. The test does not always work perfectly. Sometimes the test is negative when the disease is present, and sometimes it is positive when the disease is absent. The following table shows the proportion of times that the test produces various results. Test Is Positive (P) Test Is Negative (N) Disease Present (D) 0.06 0.04...
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 blood test to diagnose a disease was performed on a number of patients. Given the...
A blood test to diagnose a disease was performed on a number of patients. Given the following information: Number of patients who have a positive test result and have the disease = 1,491 Number of patients who have a negative test result = 3,149 Number of patients who have a positive test result but don’t have the disease = 89 Number of patients who do not have the disease = 3,017 Construct, label, and completely fill in a 2 x...
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...
Dear Expert Could you please answer below question? A laboratory blood test is 95 percent effective...
Dear Expert Could you please answer below question? A laboratory blood test is 95 percent effective in detecting a certain disease when it is, in fact, present. However, the test also yields a “false positive” result for 1 percent of the healthy persons tested. (That is, if a healthy person is tested, then, with probability .01, the test result will imply that he or she has the disease.) If .5 percent of the population actually has the disease, what is...
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...
One percent of all individuals in a certain population are carriers of a particular disease. A...
One percent of all individuals in a certain population are carriers of a particular disease. A diagnostic test for this disease has a 93% detection rate for carriers and a 2% false positive rate. Suppose that an individual is tested. What is the specificity of the test? What is the probability that an individual who tests negative does not carry the disease?
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 virus has a rare occurrence:   the virus occurs,   on average,     20 out of every 200000...
A virus has a rare occurrence:   the virus occurs,   on average,     20 out of every 200000 people. An antibody test has been devised.    Among those with the virus,    the test correctly detects the person has been infected with probability 0.95.       Among those without the virus,   the test correctly identifies the person as virus free 0.95 % of the time. Suppose  you have tested positive for the disease.    How worried should you be? Answer this by computing your probability of having the...
Suppose next that we have even less knowledge of our patient, and we are only given...
Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 96 percent reliable, this means that the test will yield an accurate positive result in 96% of the cases where the disease is actually present. Gestational diabetes affects 7 percent of the population in our patient’s age group, and that our test...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT