Question

Suppose you live in a city where 10% of the population has had Coronavirus. There is...

Suppose you live in a city where 10% of the population has had Coronavirus. There

is an antibody test that screens to see whether you have had the disease. Like all medical tests,

it is not perfect; the sensitivity is 93.8% and the specificity is 95.6%. [These are real figures for a

particular test.] These numbers refer to the true positive and true negative rate, respectively;

that is, sensitivity is P(positive test | had disease) and specificity is P(negative test | did not have

disease).

a) If you test a randomly selected person in the population, what is the probability they will test

positive?

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
The RDT SARS-COV-2 test has 93.8 sensitivity (the probability of a true positive result) and 95.6%...
The RDT SARS-COV-2 test has 93.8 sensitivity (the probability of a true positive result) and 95.6% specificity (the probability of a true negative result) . Suppose that 10% of population is infected with SARS-COV-2. If a randomly selected individual tests positive, what is the probability he or she is infected?
The Food and Drug Administration does not regulate these tests, but White House coronavirus task force...
The Food and Drug Administration does not regulate these tests, but White House coronavirus task force coordinator Dr. Deborah Birx has said that she expects manufacturers to achieve a standard of 90% specificity (and 90% sensitivity, another measure of test performance that's less important in this context). Here's what would happen if you used a test with 90% specificity in a population in which only 1% of the people have coronavirus. Nobody knows for sure, but that could be the...
At present, the infection rate of COVID-19 in New York City is about 2.5%. A widely...
At present, the infection rate of COVID-19 in New York City is about 2.5%. A widely used nucleic acid based test has sensitivity of 93.8% and specificity 95.6%. Here, to quote Wikipedia: “sensitivity (also called the true positive rate, the recall, or probability of detection in some fields) measures the proportion of actual positives that are correctly identified as such; specificity (also called the true negative rate) measures the proportion of actual negatives that are correctly identified as such.” If...
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 sensitivity and specificity of a diagnostic test in health care are defined as: • Sensitivity...
The sensitivity and specificity of a diagnostic test in health care are defined as: • Sensitivity = probability that the diagnostic test result is positive IF the patient has the disease; • Specificity = probability that the diagnostic test result is negative IF the patient does not have the disease. Suppose that two tests for the disease TB are applied as follows. Test A is applied to the full population, and anyone found positive according to test A is treated....
A new medical procedure has been shown to be effective in the early detection of a...
A new medical procedure has been shown to be effective in the early detection of a novel virus. A medical screening of the population is proposed. Let D denote the event that one has the disease, then D’ denotes the event that one doesn’t have the disease. Let + denote the event that the test signals positive, and – denote the event that the test signals negative. The probability that a new medical procedure correctly identifies someone with disease as...
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...
Suppose that a screening test for breast cancer has 95% sensitivity and 90% specificity. Assume 1%...
Suppose that a screening test for breast cancer has 95% sensitivity and 90% specificity. Assume 1% of the population being screened truly has breast cancer. a. If you really do have breast cancer, what is the probability that the test says you do? b. If you really do not have breast cancer, what is the probability that the test says you do? c. The screening test is applied to a total of 15 people; 5 who really do have cancer...
You will be assessing the appropriateness of a new screening test for Disease X. Assume a...
You will be assessing the appropriateness of a new screening test for Disease X. Assume a population of 1000 people of whom 100 have Disease X and 900 do not have Disease X to answer questions a through i using the following 2x2 table: Disease No Disease Positive screen 80 100 Negative screen 20 800 1.      Calculate the sensitivity. 2.      Interpret your sensitivity calculation and the implications for potential use of this screening test. 3.       Calculate the specificity. 4.      Interpret your specificity calculation and...
You work at a screening center that can process 1,000 people per week. Assume you are...
You work at a screening center that can process 1,000 people per week. Assume you are attempting the early detection of a disease with a prevalence of 2% and that your test has a sensitivity of 95% and a specificity of 90%. Key facts: - 1,000 tests per week - Early detection - 2% prevalence - 95% sensitivity - 90% specificity 13. Complete the following 2 x 2 table (4 points): Gold Standard Present Absent Total Test result Positive a...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT