"She said that the research was replicated many times, and that no matter which country, or which year -- or even which definition of domestic violence was used! -- the results are always 20%" -- that's doesn't sound like a vague assumption to me. That sounds like she's being very specific.
I guess you can call it lying if you want, but that is a thing people do very frequently without thinking about or considering that they are lying, namely making very precise statements when in fact there is something vague in their minds.
I've started a podcast called Future Strategist which will focus on decision making and futurism. I have created seven shows so far: interviews of computer scientist Roman Yampolskiy, LW contributor Gleb Tsipursky, and artist/free speech activist Rachel Haywire, and monologues on game theory and Greek Mythology, the Prisoners' Dilemma, the sunk cost fallacy, and the Map and Territory.
If you enjoy the show and use iTunes I would be grateful if you left a positive review at iTunes. I would also be grateful for any feedback you might have including suggestions for future shows. I'm not used to interviewing people and I know that I need to work on being more articulate in my interviews.