. A gene test shows promising results in providing early detection for colon cancer. However, 5% of all test results are falsely positive; that is, results indicate that cancer is present when the patient is, in fact, cancer-free. Given this false positive rate, how many people out of 10,000 would have a false positive result and be alarmed unnecessarily?
Question
. A gene test shows promising results in providing early detection for colon cancer. However, 5% of all test results are falsely positive; that is, results indicate that cancer is present when the patient is, in fact, cancer-free. Given this false positive rate, how many people out of 10,000 would have a false positive result and be alarmed unnecessarily?
Solution
To calculate the number of people who would get a false positive result, you need to multiply the total number of people by the false positive rate.
Here are the steps:
- Convert the false positive rate to a decimal. 5% equals 0.05.
- Multiply the total number of people by the false positive rate.
So, 10,000 people * 0.05 (5%) = 500 people.
Therefore, out of 10,000 people, 500 would have a false positive result and be alarmed unnecessarily.
Similar Questions
It is known that a rare disease affects 1% of the population. A medical test for this disease is 99% effective, which means that if you have the disease, there is a 99% chance that the test will be positive, and if you do not have the disease, there is a 99% chance that the test will be negative.If you take the medical test and result is positive, what is the chance that you have the disease?Hint: consider a cohort of 10000 people and calculate P(having the disease AND test is positive) and P(not having the disease AND test is positive)Group of answer choices0.750.990.010.5
A recent study showed that correctly administered rapid antigen tests (RATs) will return a positive result 65.3% of the time among patients that have a COVID infection. What is the implied false negative "rate" for these tests?Group of answer choices0.9990.3470.6530.001
Question4Max. score: 2.00A test has a true positive rate of 100% and false positive rate of 5%. There is a population with a 1/1000 rate of having the condition the test identifies(only 1 person in 1000 actually has the condition). Considering a positive test, what is the probability of having that condition?2%3%3.5%3.2%
Why is the false-positive rate for PSA screening so high?Question 3Answera.PSA is a marker for other benign prostate-related diseases in addition to prostate cancer.b.Studies have been conducted in low-risk populations, thus increasing the PPV.c.PSA is a marker for testicular cancer even without the presence of prostate cancer.d.Studies have been conducted in high-risk population, thus lowering the PPV.
As of October 2023 the current prevalence of Covid-19 in New South Wales is estimated to be roughly 1 in 1,000. Suppose a Rapid Antigen test has a 95% chance of correctly identifying someone with the virus and a 98% chance of correctly identifying someone without the virus. If we made all 8,000,000 people in New South Wales take a Rapid Antigen test what percentage of the people who tested positive would actually have Covid-19?Group of answer choices0.1%95%2.5%2%5.5%4.5%
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.