The main problem with HTML 5 is browser support.
Wowza provides the currently popular HTTP stream types: HLS, HDS, Smooth streaming and MPEG-DASH.
The biggest issue is that the majority of browsers do not support any of these in their own bulit-in html5 players.
You can check out a good report on the state of HTML5 here, that includes and Adaptive Streaming section at the end.
You'll see that Safari is still the only one that fully supports Adaptive Streaming, and yes it is HLS. Though, as you'll see, Chrome is adding some new extensions.
Your best current option is to use an embedded player:
Alternatively, here is a sample that will work in iOS and Mac OSx:
<video controls src="http://[wowza-address]:1935/vod/sample.mp4/playlist.m3u8">