Question

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%.

Answer 1

Answer:

Option E. The probability of someone not using steroids testing positive for steroids is $\bold9.40000000000001\%\bold$.

Solution:

The drug company advertises test for steroids is $92.1\%$

It has a true negative effectiveness of $90.6\%$

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

So the Answer is E. The probability of someone not using steroids testing positive for steroids is $9.40000000000001\%.$

Answer 2

The right answer is A