I have a wireless LAN and I like it, but my old man is paranoid that someone can tap onto it.

I told him there is nothing to worry about but...he insists there is something to worry about because some young employee at work told him this information.
Anyways, this is causing problems for me because he turns off all the computers when no one is using them while I am used to leaving them all on.
I doubt someone will be sitting outside of my house with a laptop hacking into my worthless files....but is there any truth to this "theory" of piracy?