Re: THE BIG BANG (OR the pyramidal BLUNDER)

"Luis A. Afonso" wrote:

My response

H0 u H1 represent all real numbers (with eventually same sub-intervals of H1 with probability ZERO).

This is FALSE.
"H0" and "H1" denote _statements_ about the null hypothesis and the alternative hypothesis about the _parameter_, respectively.
They constitute a _partition_ of the set of parameters into the rejection and acceptance regions, being mutually exclusive subsets of the parameter space. The parameter space does not even have to be a real line!

Check for example:
http://www.edpsciences.org/articles/ps/abs/2000/01/psVol4-3/psVol4-3.html

> Being H0: mu=0 then, necessarily, H1: mu NOT ZERO.

This "necessarily" part is also false. We may have:
a) H1: mu < 0
b) H1: mu != 0
c) H1: mu > 0

You have mentioned "b)" as being, of necessity, the only possible alternative hypothesis, which is untrue.

Regards,
Matt Dz.
.