Statistical testing basics and sample comparison tests
Almost all statistical tests center on hypothesis testing. A hypothesis in this case is an expected outcome of a situation. For example, we might be measuring efficiencies of solar cells coming off a manufacturing line as we did in the previous chapter. We can choose our hypothesis; for example, we can hypothesize that the average efficiency of the solar cells is 14%. Then, we can use a statistical test to check if the data supports or rejects our hypothesis.
In the parlance of statistics, the base case, or no-effect case, is called the null hypothesis. In the example of the solar cell efficiencies, this null hypothesis is that the average efficiency is no different from 14%. The other case is called the alternative hypothesis; in our example, this is the case when the average efficiency is significantly different from 14%. "Significant" is quantified with calculations from mathematical/statistical equations. We...