Question

Nate downloaded a free virus detection program, which reported that his computer is infected with a virus. The editors of a tech magazine reviewed the effectiveness of the free program by running it on 500 computers, with 8% of those computers known to be virus-infected. Their findings are summarized in the two-way table. Virus Reported Virus not Reported Infected 28 12 Not Infected 94 366 Which statement is supported by the data? A. The magazine's review suggests Nate should trust the program's report because the probability that the scan result is a false positive is only 7.11%. B. The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 77.05%. C. The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 22.95%. D. The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 92.89%.

Answer 1

From the question we are told that:

Sample size n=500

Know Virus infection r=8\%

The data can be represented in the Table below a

$\begin{tabular}{lllll}S/N & Reported & Not reported & Total \\Infected & 28 & 12 & 40 \\Not Infected & 28 & 36&460\\Total &122&378&500\\\end{table}$

Therefore the False Positive can be Mathematically represented as

$FP=\frac{94}{122}$

$FP=0.7705$

$FP=77.05\%$

In conclusion we can say that  The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 77.05%

Therefore

Option B is correct

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Answer 2

Answer: 77.05%

Step-by-step explanation:

.

The magazine's review suggests Nate should use a different detection program because the probability that the scan result is a false positive is 77.05%.