# Testing of statistical hypotheses: the general logic

hypotheses - one of the most important factors in the development of science and technological progress.The resulting observations of various phenomena and facts, the hypothesis is essentially a theoretical assumption.The in-depth study of these facts and phenomena it is necessary to check the hypothetical assumptions.At the same techniques used to test these assumptions, should have a scientific basis.In other words, be a result of observations or studies based on well-established scientific principles.

to determine the theoretical assumptions of loyalty there is a statistical hypothesis testing.This method involves the use of a statistical test that fits into the overall logic is to find a certain type of function according to the results of studies or observations (test statistic).Such statistical hypothesis testing allows you to make a final decision about the loyalty of the theoretical assumptions.

statistical analysis process is often accompanied by the need to formulate and test certain theoretical assumptions about the populations studied, or the values ​​of independent parameters.Comparison of this suggestion with the available data sample, followed by assessment of the reliability of the resulting output and realized by using certain statistical criteria, is called - statistical hypothesis testing.

Under statistical hypotheses to be understood various kinds of theoretical assumptions about the nature and parameters of the distribution of some random variables, which may be subjected to inspection, guided by the results of the study of a random statistical sample.In other words, statistical hypotheses are called assumptions about the properties of the populations, to check that data can be used statistical sampling.Thus, it becomes possible to test the hypothesis of equality of the average of the general population and some hypothetical value.

Testing of statistical hypotheses, the meaning of which is that on the basis of available statistical data to confirm or refute the theoretical assumption with minimal risk to admit error or mistake is quite effective and popular method of scientific research.Hypothesis testing is carried out on strictly defined rules.

Always remember that the statistical hypothesis testing is probabilistic in nature.With this method you can define in a digital (percentage) terms, the probability of making the wrong decision or a false conclusion by interpreting the results of a statistical study of a phenomenon or event.If the probability of error or mistake is negligible, the statistical regularities calculated in the study of facts or phenomena can be used for practical purposes with a slight risk of miscarriage.