good question about a situation in a mtt in which many players now shove all in.You must find the right balance and the best measure of aggression.How to find it? This is a matter of taste, experience and skill.
Now that the shove all in is so common because of online poker , players ranges of calling them are much wider now and that it is now at the point where a re-raise or a stop/go play have more chance of success of taking down a pot,especially in your situation 15 to 22 big blinds.[yourself and your opponent] although you sacrifice the chance of doubling up you can still gain chips and increased chances of survival,a concept that many young aggressive players are failing to appreciate in multi table tournys.
I posted a similar question to yours on cgm poker [russian poker forum] and a certain Hasuling replied [good player, some of you might know him as Ivan Demidov]
and he favoured smooth call pre , pot bet on flop [favourable flop for Jacks] His reasoning being that if your opponent has over cards he will most likely fold them due to stack size,we got into the debate if the opponent was to go all in etc etc that ,that would be a read dependent call.
Just a quick one on the maths -
QQ chances of over cards on the flop - there are 50 unseen cards and we are choosing 3 from this 50 for the flop therefore there are c(50,3)=50!3!47!=19600 flops.How many of these would contain an ace or a king? the easiest way to work this out is to count the flops not containing them and subtract it from 19600.
Of the 50 unseen cards 42 remain disallowing aces and kings, so that works out like this - 42!3!39!=11480 flops with no ace or king
19600-11480=8120 flops will contain an ace or king
Therefore the probability of a over card on the flop is - 8120/19600=0.414 41%
in case anyone asks ! the exclamation mark means FACTORIAL
EG - the ! [factorial] of 3 would look like without the exclamation mark 1x2x3=6
just out of intrest the factorial of 50 unseen cards 50! is = 30414093201713378043612608166064768844377641568960512000000000000
oh and
22 - 100%
33 - 99%
44 - 99%
55 - 98%
66 - 96%
77 - 92%
88 - 97%
99 - 80%
TT - 70%
JJ - 57%
QQ - 41%
KK - 27%
AA - 0%
For the mathematicians.... http://www.math.sfu.ca/~alspach/comp34/
kk wrong its 22%
99 is 79%
88 is 86%