Question

the administration team compiled test results for those who had been tested for strep throat in a random sample of 400 sick patients who had been tested. the following relative frequency table shows the data.positive negative totalhas the flu 54% 6% 60%does not have the flu 8% 32% 40%total 62% 38% 100%based on the data, what is the ratio of false positives to true positives?$\frac{8}{32}$$\frac{8}{6}$$\frac{8}{54}$$\frac{32}{54}$

Explanation:

Step1: Identify false positives

False positives are patients who do not have the flu but tested positive. From the table, this is 8%.

Step2: Identify true positives

True positives are patients who have the flu and tested positive. From the table, this is 54%.

Step3: Calculate the ratio

Take the ratio of false positives to true positives.
$\frac{\text{False Positives}}{\text{True Positives}} = \frac{8}{54}$

Answer:

$\frac{8}{54}$ (corresponding to the third option)