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Dont get it twisted.
(lemmy.ml)
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this post was submitted on 22 Jan 2024
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3000 is not a small sample size. 30 is a small sample size.
Presidential polls are often done with this, or even smaller sample sizes.
This may surprise you to know but America has a little over 3000 people in it. Some estimate the number to be over 1,000,000!
Now, if we estimate the american population to be at 1,000,000, that means 3,000 is a sample size of only 0.3%.
Now, 0.3% may seem like a large number and indeed it is when compared to 30, which would be a sample size of 0.03%.
I wonder how big the working population of america is?
Hmm, so it seems 161,183,000 is a bit larger than 1,000,000. It’s actually about 161.183 times my original estimate! That would make 3,000 people bout 0.001%.
Now, 0.001% is a very small number.
You might want to look up sampling. If the sample is randomly distributed, you can calculate the chance that the given data is because of sampling error.
You see, it doesn't matter what the total population is for the sampling error. It only matters what your number of samples is and the absolute difference between the groups.
Yes, I’m familiar with sampling. This is why I said you have a low sample size.
Sample size doesn't care about the total population size, since it doesn't affect the probability of sampling error
Sample size is a metric, it doesn’t have emotions.