The name itself is a German word, or Yiddish word, meaning "copper." (Yiddish and German are very closely related.) The ethnicity could be from any German-speaking country (Germany, Austria, Switzerland, etc.), or from any region where German-speaking peoples ever lived (e.g. Poland, Ukraine, etc.). It could also be a Jewish name from one of area where Yiddish was spoken (most of central and Eastern Europe).
Ethnicity of surname amyx
It could be any ethnicity, actually.
Arpaio can be a Gentile or Jewish surname
Chinese
Turkish
jewish
daleb
Austrian
Dutch
German
irish
Egyptian