The story I read did say that she believes Earth was created 6000 years ago
Story: http://www.latimes.com/news/politics/la-na-palinreligion28-2008sep28,0,3643718.story?track=rss

This is in line with the "Answers in Genesis" crowd, the ones that built the the creationism museum in Ohio. This is from their website : http://www.answersingenesis.org/Docs/2.asp

"As you add up all of the dates, and accepting that Jesus Christ, the Son of God, came to Earth almost 2000 years ago, we come to the conclusion that the creation of the Earth and animals (including the dinosaurs) occurred only thousands of years ago (perhaps only 6000!), not millions of years. Thus, if the Bible is right (and it is!), dinosaurs must have lived within the past thousands of years."