I would choose the following statement as the true one:
- A woman came very close to winning a major party's nomination for president for the first time.
This statement refers to Hillary Clinton, who came very close to winning the Democratic Party's nomination for president in the 2008 election. She was the first woman to come that close to securing a major party's nomination for the presidency. This was a significant and unique aspect of the 2008 presidential election, showcasing progress towards gender equality in American politics.