The two statements that best describe the views of President Herbert Hoover and President Franklin D. Roosevelt about how the government should respond to the Great Depression are:
1. **Hoover believed that the economy would fix itself, so the government should not get too involved.**
2. **Roosevelt believed that new government programs were needed to revive the economy and help the unemployed.**
These statements highlight the contrasting approaches of the two presidents regarding government intervention during the Great Depression.