Does prayer work? I contend that by observing the language of the Lord's Prayer [Matt. 6: 9-13], we can evaluate the relative success of prayer.
9 "After this manner therefore pray ye: Our Father which art in heaven, Hallowed by thy name.
10 Thy kingdom come. Thy will be done in earth, as it is in heaven.
11 Give us this day our daily bread.
12 And forgive us our debts, as we forgive our debtors.
13 And lead us not into temptation, but deliver us from evil: For thine is the kingdom, and the power, and the glory, forever. Amen."
Note that Jesus introduced the exercise by saying "After this manner." He did not say, "Only use these words in this order" He desired that we compose our own prayers, not to repeat his prayer. Although as prayers go, this one is very good, and its offering with sincere intent will have beneficial results. "In its manner," Jesus said. What manner is that? It's positive in every respect. It does not say "Might thy kingdom come. Might thy will be done. Maybe give us daily bread. These are the payers of a skeptic. Jesus taught us to pray with conviction. If we pray that God might give us daily bread, He MIGHT give it. Then again, He MIGHT not. God did not make us to be limp biscuits. He made us to be of forthright conviction.
Is that religious mumbo-jumbo? Is that asking for magic in our lives? No, it is exemplary of a positive, honesty prayer of seeking. Anyone can do that, even an Atheist. So, an Atheist may not address God as a personal, loving being, but the expression of forthright, positive words does serve to uplift, inspire, and validate.
Yes, prayer can be effective. Often, it is not, and it is we who are at fault in such instances; not God.