Anchor: For most quiz participants, the precarious venture that needed saving was either a failing TV show or a foundering political campaign.
Entailed: For most participants, the venture that needed saving was a failing TV show or a foundering political campaign.  
Contradiction: For most participants, there was nothing to save.  
Contradiction: This assumption helps us look at the effects of budgeting on spending.
Contradiction: It's clear why people who haven't had a lot of sex don't have much in the future.
Contradiction: The dog is laying by the fire.
Contradiction: People gather together outdoors.