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Hi /sci/
So I'm trying to work out the significance of some data.
To simplify it for myself I thought about it in terms of two house holds eating eggs.
Household A has 10 people, they eat 5 eggs a week; B has 4 people they eat 3 eggs a week.
On average A eats 0.5 eggs per person; B eats 0.75 per person. (I am right in saying B eats 0.25 eggs more than A per person?)
Going further, A eats 62.5% of the eggs, B eats 37.5%
A comprises 71.43% of the total people (A and B combined); B is 28.57%.
I am just stuck here. I want to show who is more likely to eat eggs based on these percentages. Is there a way to do that?
I know I have already shown that B eats 0.25 eggs more than A per person. But I am looking to show how much more likely B is to eat eggs than A.
Thanks for your help /sci/
>>
First of all, this is a probability question. Second of all, this response assume a basic understanding of Venn diagrams. The numbers in the red and blue spaces are straight forward, as they represent the proportion of people in each household. The third circle represents the event that a random person eats at least one egg in a week.
Thus, we are looking for the probability that a person eats an egg given they are in household A and the probability that a person eats an egg given they are in household B. These probabilities are found by dividing the number of ways in which the eggs could be eaten in a week excluding one person by the total number of ways in which the eggs could be eaten in a week. Basic mathematics is then used to fill in the remainder of the Venn diagram.
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