What criteria are used to test statistical hypotheses regarding the proportion of a feature and about the mathematical expectation?

Question

Mathematics

What criteria are used to test statistical hypotheses regarding the proportion of a feature and about the mathematical expectation?

Answer 1

I can't understand, this is an idle question - i.e. We walked down the street, suddenly it dawned on me - "how to do it"? Let me ask the community. Or is this question the result of attempts to deeply study the relevant books and websites and misunderstanding some of the most complex calculations read there? That's what makes you ask a question not even to Google, but on the site? A question that is answered on the front pages of ANY book for beginners in statistics.
Well, if suddenly you have already been disconnected from Google and the Internet has refused to work for you, I suggest that hypotheses regarding the mathematical expectation of two normally distributed samples are tested using Student's T-test.
Checking the null hypothesis about the equality of shares is performed by the so-called. Z-criterion, which is a modification of the previous one .
I recommend just such a book for initial acquaintance:
In fact, it is freely available on the net, but if you have problems with the Internet, then definitely go to the library.