Anna's goof was not being honest with Andy. She lied about several things including: pretending to not know Andy when he was in his "fat man" suit and when she was asked if she lied about not knowing it was him in the "fat man" suit.
Stefani's goof was arriving last at Andy's room.
Mykell: "Who gets woken up in the middle of the night to take a lie detecor test?" Apparently you do, Mykell. :)
Andy Dick: "Am I attractive to you?"
*Lie dectector indicates lie*
Andy Dick: "You son of a bitch!"
Andy Dick: "This tastes like charcoal ass!"
Stefani: "In the end, may the best bitch win."
Andy Dick: "This reality show is ruining my life!"
Andy Dick: "Bye bye Anna. *whispers* She's so hot... So f*cking hot."
Andy Dick: "I'm going to get into these people's heads even if I have to use a can opener to do it."
Reality Themes: 'Newlyweds', 'Scare Tactics', 'Meet my Folks'.
Anna was the ninth assistant eliminated.
Stefani is the eighth assistant eliminated.
The Reference: Scare Tactics
Andy comes out dressed as a bear in an attempt to scare the assistants. This is a spoof on the show "Scare Tactics", a show in which average people are thrown into a situation and then actors set up the people to believe that something really really scary is happening. At the end of the prank, the actor asks, "Are you scared?" (as Andy was trying to say) and that's when the prank is revealed.
The Reference: Lie Dectector Test
The lie detector test could be a passing reference to any talk show where they do the lie detector tests to see if a guest is being faithful to their loved one, etc. It also could be a reference to "Meet My Folks" where they sometimes use lie dectectors. But, it is also likely Andy was spoofing a scene from the 2000 movie, "Meet the Parents".
The Reference: Newlyweds: Nick & Jessica
A possible reference to the show "Newlyweds: Nick and Jessica." The newlywed couple, Nick Lachey and Jessica Simpson, went on a camping trip in one episode.