How does the level of data in the dependent variable influence the choice of test used between t-tests, their non-parametric equivalents, and a chi-square?

How does the level of data in the dependent variable influence the choice of test used between t-tests, their non-parametric equivalents, and a chi-square? What do all have in common?

Discuss the appropriate use of t-tests and their non-parametric equivalents as well as the chi-square and its derivatives such as the Fisher’s Exact Test within clinical practice.