Deductive statistics. Statistical hypothesis

From now on we will work the deductive statistics, which is based on taking decisions on the population starting from the data obtained from a sample. These decisions are called statistical decisions.

These decisions are taken on a probabilistic basis, i.e., the accuracy of the decision is objectively measured in terms of probability.

In situations in which we wish to make decisions certain assumptions or guesses about the populations studied should be carried out. These assumptions, which may or may not be true, are referred to as statistical hypothesis.

We have two types:
 
Null hypothesis: H0. It is the hypothesis that you want to compare. Initially it is true and is maintained or rejected as a result of the hypothesis test
 
Alternative hypothesis: H1. It is the hypothesis that collects the opposite situation from the one given in the null hypothesis H0
 
In the statistical decision-making, all null hypothesis H0 must be accompanied by an alternative H1, which is the one that want to replace it. For one concrete null hypothesis, there may be various alternative hypotheses.

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