That model Emerson is well known for having a faulty power switch. The power button its self works fin but the logic control board that actually triggers the internal relay to turn it on is faulty. It will take an Emerson Tech or TV repair person to fix it, but it is common with that model and will be somewhat easy to fix.
As you can see here it is a common thing with Emerson TVs
http://www.consumeraffairs.com/home_electronics/emerson_tv.html
If you need a technician service, here you are a tech website www.tvrepairjacksonvillefl.com
sony, October 2012