Thanks Greg! Leviton told me the same, that its GFCI does not have to use the grounding wire. I do not know why it does not trip as the wiring is simple. An electrician told me that because there is not enough current draining out the circurt when "TESTing" without grounding conductor, it may not trip when pusting the TEST button or using a GFCI handheld tester, but it will provide protection needed in a situation of Ground Fault. Please advise. Thanks,
Hal