Whish one would be CORRECT:
" quote " (Bryan).
OR
" quote " (UCLA).
This is the website (the speech is by a person named William Bryan).
UCLA Center for East Asian Studies. Resource page. UCLA International Institute. XX Feb. 2010 (website)
I would use Bryan, however, usually depends on what is on your works cited.
UCLA Center for East Asian Studies. Resource page. UCLA International Institute. XX Feb. 2010 (website)
This is the works cited in MLA format. I didn't know which one to use because the works cited started with UCLA.
(Broken Link Removed)
Notice that in the list of items to be included in citing electronic sources (includes websites), the author comes first. Therefore, you should use (Bryan) and make sure that Bryan, William is the first item in that citation in the Works Cited list.
To determine which one is correct, we need to consider the context and source of the quote. In this case, the quote appears on the UCLA Center for East Asian Studies resource page, and the citation includes the date, "XX Feb. 2010," suggesting it is from the same website.
Given that the quote is found on the UCLA website and is sourced from the UCLA Center for East Asian Studies, it would be more accurate to attribute the quote to UCLA rather than to a person named William Bryan. Therefore, the correct option would be: "quote" (UCLA).