Final answer:
The question is about conducting statistical analyses, particularly hypothesis testing and regression analysis, to determine the significance of certain variables in a study. This methodology is a key element of college-level statistics courses.
Step-by-step explanation:
The question asks about testing hypotheses and analyzing data, which suggest it is related to statistics, a branch of mathematics. The subject matter involves a step-by-step explanation of hypothesis testing, regression analysis, and the interpretation of statistical results, which are commonly taught at the college level within a statistics or business analytics course.
Hypothesis testing is a statistical methodology used to determine if there is enough evidence to reject a null hypothesis in favor of an alternative hypothesis. It often involves calculating a p-value and comparing it to a predetermined significance level, such as α = 0.05 or α = 0.01.
When performing regression analysis, variables are assessed to identify significant relationships between independent variables (like age or customer ratings) and a dependent variable (such as profit). The final model includes only significant variables, as determined by the p-values associated with each coefficient in the regression output.
When comparing means from different groups, as in the example with science and humanities students' spending, a t-test or ANOVA can be used to decide if there is a significant difference between the group averages.