What Todd said should technically work, but I just tested it and it doesn’t look like it’s working well. It does cause the browser to start downloading the MP4, but it looks like it’s quite a large one. I stopped trying after the download was going on for five minutes without being done. I would recommend you provide the player with a URL to the actual MP4, but also encoding the MP4 so that it is at a decent file size so that people with lower bandwidths or mobile devices can see your content.
Please let me know if you need any more help or have any other questions.