Testing and Improving the Teaching and Learning Processes Using Large Sample Approximation to the Binomial Distribution

Abstract

Most of the experiments in different fields such as Natural sciences, Social sciences, Healthcare, and Business, often design problems to have answers of the form either success (yes) or failure (no). In consequence, based on the proportion of successes, the product of the experiment can be explored statistically at a given significance level, if the appropriate requirements are satisfied. This proposed method investigates the ability of designing a simple experiment to determine and to improve the proportion of the students who really perceive the material according to the instructor’s teaching methodology. The large sample approximation to the binomial distribution is used to put forward an approximate confidence interval, and to test the hypotheses over the population proportion of the students who accept the teaching method and hence understand the subject matters in depth. A simulation study is developed to demonstrate how one would employ this method in their field. For any teaching course, this method is applicable and beneficial for both the instructor and the students to improve both teaching and learning processes.