This one's tricky! It almost sounds correct, but it's hard to explain why, don't you think?
Anyway, we have the same problem here as we have in this sentence:
Most of people in the U.S. have a telephone.
This sentence should read:
Most of all people in the U.S. have a telephone.
We have a rule in English that says we need to use a determiner in this position. Here's the rule:
quantifier + of + determiner + noun
quantifier + of + pronoun
If any of these terms are confusing, go to my grammar index to learn more: