Question

question 10
10 pts
g.pr.10.3 (hc)
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 target event and given condition

$$
LATEXBLOCK0
$$

Calculate the conditional probability

$$ P(\text{False Negative} \mid \text{Has Covid}) = \frac{120}{1250} = 0.096 $$

Convert the probability to a percentage

$$ 0.096 \times 100\% = 9.6\% $$

Answer:

• (A) 9.6% (Correct answer)
• (B) 35%
• (C) 6%
• (D) 77%