To me, what the statistics say is that "something" is going on to produce the extra photons that is not random or by chance. Why is it the science community all convinced this "something" is their long sought after higgs boson?
If you look at what the scientists have been saying to the press, they're not completely convinced. What they've found is something which
in one respect looks like the Higgs boson would look like if it existed. They now want to do more experiments to confirm that it looks like a Higgs boson should look in other respects. So what they said in their press conference was that they've found a "Higgs-like" particle.
Now one reason to think it is the Higgs is that if the standard model is right, that would be the last undiscovered boson.
But since they are in effect trying to find out if the standard model is correct, they can't use that as a sure basis for saying that it is the Higgs boson, otherwise they'd be guilty of circular reasoning: "The standard model is correct, so we've found the Higgs boson, so the standard model is correct".
Hence their cautious use of phrases such as "Higgs-like".