Not statistically.
Is the soup smooth or lumpy? Striated or uniform? For that matter a soup could (and often does) involve huge soup bones that give it important parts of its flavor, but never show up directly in a spoonful. And you might need something different from a spoon to convincingly rule out some specific rare lumpy ingredient.
The didactic value of sampling the soup pot goes well behind its basic function: correcting the beginner’s misperception that a sample’s statistical power is directly related to population size :)
“You're gonna need a bigger spoon!”
No, The most important thing is the distribution of the sample size. You have to make sure it isn't obviously biased in some way (i.e You're only surveying students in a university for extrapolation on the entire population of the country). Beyond that, the desired sample size levels off quickly.
5000 (assuming the same distribution) won't be any more or less accurate for 10M than it is for 1M.
Of course, if you just ask everyone or almost everyone then you no longer need to worry about distribution but yeah
Since there aren't a billion students in the USA, 35% of them is an impossibility.
If you scale your population above some recognized boundary you aren't sampling in the same space any more. After all the local star density to 1AU tends very strongly to 1. That's not indicative of the actual star density in the milky way.
What are you referring to?
https://www.404media.co/ceo-reminds-everyone-eightsleep-pod-...