Hm. The only multi-family building I've ever lived in was an apartment complex and it was steel and concrete. I don't think they are typically built out of wood even here, although I've read about some experiments with wooden office buildings as more environmentally friendly. I guess if I was really curious I could look and see if they'd added extra sound damping to deal with that.
In any case, the typical American wooden home is not going to have a family above you. :)
That specific type of construction started in 2009 after the building code was changed to allow it. They are known as a “1+4” or “1+5”, with the first floor being concrete and then 4 or 5 wood floors above. Very economical, and hence why almost all new multi unit construction has been that style for the past decade.
In any case, the typical American wooden home is not going to have a family above you. :)