She ran for the Ontario legislature in the 1985 provincial election, but lost to Progressive Conservative incumbent Yuri Shymko by 330 votes.
She was given control of this file at the beginning of the Rae government's mandate, and she hired Juanita Westmoreland-Traoré as an employment equity commissioner to draft legislation on the subject.
"[10] Premier Bob Rae argued that employment equity was a goal set out in the Liberal-NDP accord in 1985 but the Peterson government failed to act on it.
[14] In 1995 after the NDP defeat, the governing Tories under Mike Harris tabled the Job Quotas Repeal Act which removed all of the work done by Ziemba.
[15] The NDP were defeated in the 1995 provincial election, and Ziemba lost to Progressive Conservative candidate Derwyn Shea by fewer than 2,000 votes.