Even Hawkings hedges his bet on that one
Well, Hawking (no s) used to adamantly insist that even weak determinism was untrue (in a reverse kind of way). He has since recanted, though not before making a lot of enemies
(look up "black hole information problem" for more details)
any event can be rationally predicted
Here we run into difficulties with what we are calling an "event". An event is actually usually an observation. Where the distinction is blurred at classical levels, we have no problems anyway. But the prediction of a particular state of a wave-function is indeed stongly deterministic, with the following caveat:
Popper's definition is also problematic in the use of "desired" and "sufficient". Mathematically, there is no "sufficent" accuracy in a chaotic system that will necessarily reveal a non-chaotic sub-region. However, we do not usually consider chaos a barrier to determinism. It is a limitation of measurement and/or calculation. It does not constitute a property of the universe per se.
The universe being deterministic is not about what *we* can say/predict, but is concerned with future events being determined *solely* by past events - it is a point of causality. Which of course has major implications for choice and free-will...