Call a local custom audio/video installer that can help you for a small fee. It's okay to pay a professional and get the right help. It shouldn't cost you more than $50 at most, but probably half that amount since it's a very simple connection.
Here's a couple of weblinks that may be helpful...
On the Vaio:
right click volume on system tray and select playback devices
select hdmi/ sdip as default and then in the properties deselect dolby
If you don't have those options you may need new drivers installed on your Vaio. Do you have windows xp? The driver can be found here: support.vaio.sony.co.uk/downloads/info/info.asp?site=voe_en_GB_cons&url=Vaio/Original/AR2_Drivers.zip&ip=RAID_AR21.htm
If you have vista the driver can be found here:
On the television make sure you are on the right input. Press menu--setup--hdmi setup--audio select--digital
Hope this helps