Wicked Little Puzzle

(via Robert Hunter: singer, songwriter and lyricist for the dead.)

Here’s a wicked little puzzle that occured to me while shaving.

Evil aliens come to Earth. If you answer any of the first 6 true or
false questions incorrectly they will blow us up. If you can answer
questions 1 through 7 correctly, without figuring it out on paper, they
will enslave us. If you can answer correctly through question 8,
they’ll share power. If you can answer 9, they’ll admit we are the
superior race and just go away.

Which of these 3 statements is true?

1. A year lasts seven days.
2. Statement 1 is true
3. Statement 2 is false

Which of these 3 statements is false?

4. Statement 3 is false
5. Statement 4 is false
6. Statement 5 is false

Which of these 3 statements is true?

7. Statement 6 is true
8. Statement 7 is false
9. Statement 8 is true