a Schweizer is German for "a person from Switzerland" - (not from Sweden) Switzerland is a country in the middle of europe next to Germany, France, Italy, Liechtenstein an Austria (and NOT Australia).
A dialog with Guys from America or other countries is mostly this:
A: I'm swiss
B: Oh, You're from Sweden!
A: No, I'm from Switzerland, that's in the center of europe, next to Germany, France, Italy and Austria.
B: What?!? Switzerland is next to Australia?
A: éh... okay. Yes. *rolleyes*
Okay. I hope some people are more clever. But that's classic. Okay, and a little overdone. But...
Ich bin Schweizer