The Bible states, "train up a child in the way that he should go, and when he is old, he will not depart from it." Note it does not say he will NEVER depart from it, but will come back to it at some point in his life. The story of the Prodigal Son illustrates this point beautifully, I guess.
More specifically, most children follow the religious preferences of their parents. These are the doctrines to which they are exposed more than others. Quite often, matters of religion are accepted as a matter of faith rather than logical deduction. So, ones family life is probably the most important element in ones religious life.
The question is asking you how life with your family makes you more likely to follow God's call to be religious. It asks how having a family improves your chances of being religious in your life.
You might say, for example, that being in a family teaches you about how to be selfless and how to care about others. You have to care about your parents and your siblings. That makes you more likely to embrace God's call to care about other people. So that's one way that family life can help push you more towards a religious life.