Catholics believe that Christians who have “died” in a state of grace are, in fact, not dead, but more alive than you or me (Mt. 22:32). Catholics believe these saints can hear us (Heb. 12:1). And that these saints have been made completely holy (Rev. 21:27). And that, therefore, they are in a wonderful position to pray for us, because the prayer of a righteous person avails much (Jas. 5:16). One such prayer that a saint might make for us is that we might gain employment. That answers part of the question.
The other part of the question centers on the fact that we are human beings. Part of what that means is that we are a union of flesh and spirit, body and soul. As such “incarnate” creatures, some humans sometimes feel it necessary to incarnate their prayers (to act them out). An example of this would be the sign of the cross. I could just say, “In the name of the Father, the Son, and the Holy Spirit” and it would be a valid prayer, but somehow, acting it out by making the sign of the cross somehow completes the prayer, makes it more meaningful to me. This is also part of the reason why the Church thinks God saves us through baptism (1 Pet. 3:21), so that a creature in a body will know for sure that he has been justified. It is also why Catholics wear medals and wedding rings. They believe that physical things (medals and rings) help us remember the promises we have made to God and to others, and thus they help us to be obedient to God, or help us to turn to God in prayer, to receive healing or help (Acts 19:12).
In like manner, visiting a statue is a perfectly reasonable thing for a Christian to do. It is simply a way of acting out (incarnating) a prayer. We are not pure spirits. Seeing things, touching things, smelling things, tasting things are all quintessentially human actions. God made us human, and called us “good”. And therefore it is good to use the capacities he gave us to reach out to him in prayer. And this includes touching. We don’t believe that statues work miracles. Statues simply act as objects that bring us closer to God by helping us to pray. By helping us to be who God made us to be, agents with hands, feet, noses, and eyes.