The giant Chicxulub crater in Mexico provides indisputable evidence that a huge asteroid, about six miles across, struck Earth around the time many of the last dinosaur species were becoming extinct.
Conclusion
The big asteroid that hit Chicxulub was probably not responsible for most of the final dinosaur extinctions.
Evidence
Major asteroid impacts kill a lot of stuff near the impact site, but there's not much evidence they'd have a worldwide effect. In fact, there have even been bigger asteroids hitting Earth, when there weren't any contemporaneous extinctions.
Evaluate
Given That asteroid strikes aren't known to have worldwide effect (just to kill animals locally) How Could We Argue That the big asteroid that hit Chicx was responsible for most of the final dinosaur extinctions?
Hmmm, maybe the remaining dinosaurs were all having some sort of Burning Man in that area of Mexico? They got together for a party and so the asteroid was able to wipe them all out at once?
Maybe even though there's little evidence for a worldwide effect, there's enough of a local or regional effect to kill off the dinosaurs?
Maybe it does something to their food supply?
Goal
Look for an answer that allows to make a causal story in which this asteroid strike leads to the extinction of most of the remaining dinosaurs.