A drug testing company advertises a test for steroids that is 92.1% effective at detecting steroid use. It has a true negative effectiveness of 90.6%.

Which statement is true about the 90.6% rate?

A. The probability of someone not using steroids testing positive for steroids is 90.6%.
B. The probability of someone using steroids testing negative for steroids is 90.6%.
C. The probability of someone using steroids testing negative for steroids is 9.40000000000001%.
D. The probability of someone using steroids testing negative for steroids is 90.6%.
E. The probability of someone not using steroids testing positive for steroids is 9.40000000000001%.

Respuesta :

The right answer is A

Answer:

Option E. The probability of someone not using steroids testing positive for steroids is [tex]\bold9.40000000000001\%\bold[/tex].

Solution:

The drug company advertises test for steroids is [tex]92.1\%[/tex]

It has a true negative effectiveness of [tex]90.6\%[/tex]

The probability of someone not using steroids testing positive for steroids is [tex](100\% - 90.6\%) = 9.4\%[/tex]

So the Answer is E. The probability of someone not using steroids testing positive for steroids is [tex]9.40000000000001\%.[/tex]