2018 response:
For those finding this thread now: in order to use the built in Mira Cast technology (no internet use or wifi hot spot use of your phone) native to Android phones to wirelessly stream whatever is happening on your phone directly to your tv, you need a Mira Cast dongle/connected. Looks a lot like a fat flash drive, and utilizes both the HDMI port and USB port on you TV to receive the signal from your phone. No software of any kind need be downloaded to make it work.
You can get a wired set up to do the job, however your phone battery will drain despite being plugged in and charging while watching movies. You might also discover that it doesn't work because of the number of pins in the mini HDMI connector end that goes into your phone isn't the same as what the phone has. Or that you must take your otter box off the phone because the connector housing is simply too fat.
I bought a refurbished Belkin Mira Cast adapter dongle for my Vizio flat screen in my RV. I frequently end up in places where internet is not an option outside of my cell phone. Our DVD collection is 2000 and growing, but there are still videos I do not want to own (power rangers, 25 years worth for starters) As we watch an average of 400gb of media per month, hot spot is not an option. (Yes, 400. It is always playing something.) I needed a non-wifi option, and Chromecast requires Wifi to work, while Mira Cast is simply bluetoothing the audio and video to the receiver.
We consistently use this with a Note2 phone, but also works great with the Note8. The TV is 8 years old. You can understand that the devices is compatible with old and newer devices. The latest Smart Tv's wouldn't need the dongle, but my Vizio is a Dino lol!