**MSC:**- 62P25 Applications to social sciences
- 92K99 None of the above but in this section

The purpose of this activity is to give a mathematical proof of large falsifications and

to estimate possible 'real results of elections'. My purpose is to show that

1. Statistical argumentation allows to prove existence of falsifications and

to give a lower estimate of falsification, near 1 percent.

2. Statistical proofs of stronger

statements are incorrect from both points of view of mathematics and of natural sciences.

3. Apparently, this problem is not a problem of pure mathematics

(since it includes strong indeterminacy of sociological nature).

**Keywords:** *Statistical mistakes*