I have been given the following problem:
$9.1\%$ of the population of USA has diabetes, and $0.015\%$ has a neurological problem. What is the probability for a person with diabetes to have a neurological problem?
I suspect that the question asks to find the conditioned probability $P($neurological problems $\mid$ diabetes$)$. But I think that this problem is unsolvable.
Am I missing something?
And moreover: if it is unsolvable, is it possible however a statistical approach? I mean, can one plan some statistical test in order to accept ore refuse the hypothesis $P($neurological problems $\mid$ diabetes$)\leq 0.14\%$ (for example)?
Thank you in advance.