The manual contains about 100 tasks dedicated to testing statistical hypotheses. Topics presented: 1) general properties (criterion statistics, criterion power, P-value); 2) criteria of randomness, independence, homogeneity; 3) consent criteria (simple hypotheses); 4) consent criteria (complex hypotheses); 5) parametric hypotheses. Examples of solving hypothesis testing problems are analyzed. When solving the examples, the Excel environment, MatCalc [1, 6], R [3] and Python [4] were used. The manual is intended for students studying in the areas of Economics, Management, etc.