Re: Monte Carlo NEWS – 1971. JASA

David Winsemius, you know very well and teach fully Jack Tomsky that is elementary the following:


THE MOST IMPORTANT THING
______Hypotheses Tests are unable to fully account if H0 is TRUE or NOT TRUE..
We accept (fail to reject) H0 BUT WE NEVER KNOW IF THE HYPOTHESES IS TRUE.
______If we reject H0 is not because Ha (alternative) is true but merely because the test statistics shows a value not compatible with Ho true. The vale falls inside the REJECTION INTERVAL.

To have doubts in this matter only could be originated from insufficiently leaned persons.

The example:
_____How many flips should be performed in order to state a coin is FAIR is currently asked to students to answer, here in Portugal, since the first lesson on Hypotheses Tests, Elementary Level.

I am sure that this problem or equivalent ones (which are quite simple to find), are used in your Country.

____________
Luis
.