I think a lot of the posters here are making it overly complicated for you. They aren't telling you anything wrong but I get the impression you are very new and even the concept of putting someone on a range might not be something you've ever done.
Imagine if you and your opponent have random hands each and he goes all in with every single hand, then imagine you have a hand that is slightly better than average; your hand beats 51% of the possible hands if you both go all in. You would go all in all day here right? You might lose 500 pots in a row because of bad luck, but you'd still go all in with your hand. This is what we mean by a +EV play, a play in which we expect to earn more than we lose in the long run.
So to apply this to your situation, let us assume that people will only shove preflop with TT+, AKs, AKo (which is probably quite accurate at 4NL). This is what is meant by putting someone on a range; the set of hands we think that they will shove with is {TT, JJ, QQ, KK, AA, AKs, AKo}. So it would make sense for us to call their shove with anything that wins 51% of the time if they randomly pick a hand from this set, right?
So how do we work out if we win more than 50% of the time against this range? Well, we could spend our days listing all the possible flops, turns and rivers but it wouldn't be fun. So we use a program like Pokerstove which does it for us.
Carr1ck pasted the output of Pokerstove when we say we have QQ and they have a random hand from this range:
Quote:
Originally Posted by Carr1ck
equity win tie pots won pots tied
Hand 0: 47.629% 46.25% 01.38% 194824356 5801790.00 { TT+, AKs, AKo }
Hand 1: 52.371% 50.99% 01.38% 214798848 5801790.00 { QQ }
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It says we can expect to take away 52.371% of the money in the pot!
Would you call his all in shove with QQ if you felt confident he had one of those hands? Would it be +EV to do so?