by ohthatpatrick Fri May 26, 2017 5:30 pm
It will be way easier for you to eliminate (C) once you memorize the 10 Famous Flaws, since this is one of them (which we call "Unproven vs. Untrue").
This flaw is when an author ONLY presents negative evidence as positive proof of his conclusion.
"Cell phones clearly do not cause cancer. After all, no one has ever proven that cell phones cause cancer."
The author is mistakenly inferring that "avg. consumer prices have increased by more than 3%" from the evidence that "gas is up 10%, car insurance is up 12%, etc."
The author has some positive evidence for her conclusion. Thus we can't accuse her of relying on "They clearly haven't shopped anywhere".
(C) would describe an argument that sounds more like
"Economists claim that avg consumer prices have gone up less than 3%. However, they must be mistaken, since they clearly have not shopped anywhere or offered proof of their less than 3% figure."
There's no number for sample size that automatically makes it representative (other than something crazy like 95-100% of the data pool).
If I said "it looks like California is now almost 100% Democrats. I asked over 10,000 people in San Francisco and Berkeley what party they were affiliated with, and they almost all said Democrat."
10,000 is a robust sample size, but this isn't representative if I cherry picked my 10,000 Californians by looking at two of the most liberal, Democrat-leaning cities in the state.
Similarly, consumer price index presumably keeps track of nearly all consumer goods. Bread/newspapers/propane/gas/insurance are definitely five completely different categories, but they're still a tiny fraction of all the different types of things we might buy.
So if you were trying to say "the average price of these 1,000 goods has gone up more than 3%" ... how do I know? ... because these 5 things have gone up more than 5% ....
That's not very persuasive.
You don't necessarily need a large sample size to be representative. I could poll only 1,000 Californians, but as long as I polled them from an accurate cross-section of citizens (not an UNREPRSENTATIVE sample like San Francisco and Berkeley), my sample might be representative.