Question

a company has developed a test to detect the covid-19 virus. a study was done on 2000 people to determine whether the test was effective or not. what is the probability a person will get a false positive from taking this test?

Explanation:

Identify the number of false positives and the total sample size

$$ \text{False Positives (Tested Positive and Does Not Have Covid)} = 170 $$

$$ \text{Total Number of People} = 2000 $$

Calculate the probability of a false positive

$$ P(\text{False Positive}) = \frac{170}{2000} = 0.085 $$

Convert the probability to a percentage

$$ 0.085 \times 100\% = 8.5\% $$

Answer:

\(0.085\) (or \(8.5\%\))