VISUALIZING THE COMPONENTS INVOLVED IN A HYPOTHESIS TEST USING DISCRETE DISTRIBUTIONS

The teaching of statistics, like other sciences, has changed with the advent of new technologies allowing to visualize concepts that were previously more difficult to learn
The test on the mean of a normal random variable with known variance is very often used as example introducing the concepts involved in this statistical theory. However, the discrete variables may be more intuitive helping to the students to discover these concepts. The complexity of calculations in the late case can be alleviated with appropriate tools.
In this context, some teachers at the Department of Statistics, University of Cordoba, with the collaboration of students taking their Degree Work on Computer Science, we have developed an on-line application in wich, based on binomial or hypergeometric distribution, representing the sampling with or without replacement, one can discuss the basics of the contrasts: Null and alternative hypotheses, kind I and II Errors, Level of significance, O.C. Curve, the sample size influence, etc..