Two hundred randomly selected subjects were asked, "Have you ever awakened, seemingly paralyzed, with a sense of a strange presence in the room?"
Statements
In one group of 200 random people, 40% said they have awakened, seemingly paralyzed, with a sense of a strange presence in the room.
In a different group of 200 random people, 14% said they remembered awakening and feeling seemingly paralyzed.
Evaluate
There are only two facts, and we know our job on Inference is to combine 2 or more facts, so we're trying to think about what can be derived by considering both of these data points.
Essentially it comes down to this: Group A: 40% have experienced (A + B) Group B: 14% have experienced A
A = waking up seemingly paralyzed B = waking up sensing a strange presence in the room
If this were the same group of people, then they'd be contradicting themselves. Clearly if 40% of people in a group have experienced A + B together, then at least 40% of them have experienced A.
It has to be more common (or at least as common, to be technical) to be A than to be A and B. That's a general rule of probability. After all, everyone who is A and B is A.
The number of people who are lawyers and former professional baseball players has to be smaller than the number of people who are lawyers.
So there is a weird tension between the study's two data points. We would expect a higher % of people saying "I've awakened feeling paralyzed" than people saying .
But it's too hard to predict what we should be inferring from this. It's possible that is actually a pretty common feeling (40% of people experience) it. Waking up feeling seemingly paralyzed is pretty uncommon (only 14% of people experience it). And the 40% from Group A might have been saying mainly because they knew they had felt that strange present thing before, and maybe they just convinced themselves that they also felt seemingly paralyzed in that moment (perhaps the fear we experience from sensing a strange presence makes us paralyzed by the indecision of what we should do about it).
Goal
Let's head to the answers with that uneasy, but not uncommon, feeling of not knowing what we're looking for. Look for something safely worded that can be defended using the comparison between the two groups.