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 negative from taking this test?

covid-19 test

	has covid	does not have covid	total
tested negative	120	580	700
total	1250	750	2000

• 35%
• 6%
• 77%
• 9.6%

Explanation:

Identify the number of false negatives

$$ \text{False Negatives} = 120 $$

Calculate the probability relative to the total population

$$ P(\text{False Negative}) = \frac{120}{2000} = 0.06 $$

Convert the probability to a percentage

$$ 0.06 \times 100\% = 6\% $$

Answer:

• 35%
• 6% (Correct answer)
• 77%
• 9.6%