<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<title>Document</title>
</head>
<body>
<form>
<div class="container-checkbox">
<input class="check_test" type="checkbox">
<input class="check_test" type="checkbox">
<input class="check_test" type="checkbox">
<input class="check_test" type="checkbox">
<input class="check_test" type="submit" value="Submit">
</div>
<script type="text/javascript" src="http://code.jquery.com/jquery-latest.pack.js"></script>
<script>
$('.check_test').change(function() {
if($('.container-checkbox input[type=checkbox]:checked').length) {
console.log('co najmniej jeden checkbox jest zaznaczony');
}else{
console.log('nic nnie jest zaznczone');
}
});
</script>
</form>
</body>
</html>