A lot of people want to understand more about Bayesian methods. Some people might get some traction by directly comparing something they already understand (such as a t-test) under the traditional approach, to a Bayesian way of tackling the problem.
John Kruschke comes to the rescue. He has published a nice paper on the Bayesian t-test, and hist website has a page of useful resources. Personally, I would recommend first watching Kruschke’s informative youtube video (below) and then trying a free online Bayesian t-test app.
Kruschke, J. K. (2010). Doing Bayesian Data Analysis: A Tutorial with R and BUGS. Academic Press, 1 edition.
Kruschke, J. K. (2012). Bayesian Estimation Supersedes the t Test. Journal of experimental psychology. General. doi:10.1037/a0029146