Answer
Not the same.
Work Step by Step
We know that $probability=\frac{number \ of \ good \ outcomes}{number\ of\ all\ outcomes}$.
We first consider the probability that a subject is infected given a positive test result.
Hence here $probability=\frac{17}{17+2}=0.895.$
We now find the inverse, which is the probability that there is a positive test result given that the subject is infected:
Hence here $probability=\frac{17}{17+6}=0.739.$
Hence we can see that the statement and the inverse are not equal, reflecting the confusion of the inverse.