I have a distribution of visitors to a website on Monday to Sunday like this:
M T W Th F S Su 345 467 560 350 430 689 490
I know that if I have a hypothesis of distribution that I suspect such as (M 20%, T 30%, W 10%, Th 5%, F 5% S 20% Su 10%) etc, I can use a Chi Square distribution to figure out if my suspicion is correct - as explained in this video, Pearson's Chi Square Test (Goodness of Fit), on Khan Academy.
My question is how do I figure out an acceptable distribution given an observed data. I think since I am not after a True or False, rather a set of numbers, I suspect I am after some kind of algorithm that gives out a range of percentages that specify a region which are all acceptable under a chi-square test.
Any pointers greatly appreciated!