Alright, I did some analysis with the data when there was 49 votes. Thankyou everyone for voting. Lets see if we can make some interesting conclusions.
First of all we test whether there is a relationship between (you or your spouse) having artistic ability and your children having bad eyesight. This seems like a silly thing to test but thats unfortunately the best thing the poll can test. So if you've had to do statistics you might know
what I'm talking about in the following paragraph (or be able to point out errors) but if not skip it!
So i made a two by two matrix and let A be that someone's parents could draw and B be that their eyesight is good. The probablilty of
A was estimated as 27/49 and for B 28/49. Then a table was constucted for the expected values. Then U^2 was calculated (corrected
for continuity ) to be 0.148. Then P=chiinv(0.148)=0.700>0.05, so we accept Ho. Ho was the hypothesis that A and B were independent.
So being good at drawing doesn't affect the chance that you're children will have bad eyesight.
Something that I really wanted to test though was whether having bad eyesight increased your chance of being 'good' at drawing.
What we really need is to grab 1000 people at random, run two tests, first to determine whether they can draw 'good', and second
if their eyesight is 'bad', and then do the above analysis. We can't do that so i found on a website somewhere that 1 in 14 poeple have
bad eyesight. Using that figure we can do a test.
We let X be the number of people with bad eysight and test the hypothesis that the sample comes from a population which a probability
1/14 of having someone with bad eysight. So we found x=21, X=Bi(49,1/14), P=Pr(X>/21)=4.6*10^-12<0.05. So we reject Ho.
Awesome. We would've expected 3.5 people in our sample of 49 to have bad eyesight. But it was a whopping 21 people. The above
analysis leads us to reject the idea that this sample of people is just like the normal world population. So, next time you bump into a
signpost, can't read a book properly, have a headache becuase your evil optometrist gave you an incorrect perscription, just think
"if i had good eyesight, i probably couldn't draw".
I think it makes sense because if you can't see properly, your brain has to guess at what its looking at, and this extra 'work' you do somehow has spillover effects on your ability to draw things. What do you guys think? Has anyone read of some real studies looking
into this?