How Do We Know There Is a God?

If there is a Creator-God, it is logical to think that He would want to communicate with the ones He created. As humans, we show kindness, justice, intelligence and other noble attributes. Since it is unlikely that a Creator would be inferior to that which he created, isn’t it likely that He would have similar or superior qualities? Wouldn’t you expect that such an intelligent Creator would want to communicate with His intelligent creature?