Chemical Abundances in the Universe

I have stated (early and often) that the Universe is primarily hydrogen and helium. What is this statement based upon? Fortunately, the statement is based on data. The Universe is roughly 90 % hydrogen and 10 % helium based on observation.

For the following, let me change a definition. I will give abundances in terms of mass fractions instead of number fractions. That is, if I have 10 grams of material, I will let X denote the fraction of the stuff which is hydrogen and I will let Y denote the fraction of the stuff which is helium. So, if 90 % of the stuff is hydrogen by number, then X = 0.9 m(hydrogen) / [ 0.9 m(hydrogen) + 0.1 m(helium) ] ~ 0.9 / 1.3 = 0.69 and Y ~ 0.31.

In the early Universe, recall that nucleosynthesis yields .... . A reasonable range of values based on the Big Bang picture is