There is so many things wrong with this page. Do not be surprised if you send 300 clicks and get no conversions.
1. You need to add more content to the page. You have the right idea with those links you have at the bottom. Add a privacy policy page and TOS page. Add an article on that page and other pages (original articles!) about The Academy Awards, who's being nominated, the history of it, etc. Wikipedia is a good source; just rewrite it in your own words.
2. Your layout is completely wrong; You are apparently listing the prizes on TOP, and the question on the bottom. When someone clicks your site, they're going to be confused because the first thing they will see is "Complete all program requirements and get a FREE Panasonic TV". They will immediately leave because they believe that they have landed on a wrong page. Therefore, the TOP of your page needs to be an image along with "WHO HAD THE BEST PICTURE OF 2007?". Right next to where they select the answer, write "Answer this question before the show airs and receive a Plasma TV!" Not only is this more believable, you won't run the risk of losing visitors.
3. Remember when I said "Do not be surprised if you send 300 clicks and get no conversions."? This is why: The affiliate page is so different from your website, that it looks fairly obvious what you're doing. You don't want the visitor to know that they are going to a separate site; I believe this will cause a red flag to raise in the visitors mind. Make YOUR landing page as SIMILAR to the affiliate landing page AS MUCH AS POSSIBLE. Hell, copy the whole damn layout but replace what needs to be replaced. Therefore, when they vote on your site, and they are taken to their site, it looks like the same website.