Since we are comparing two medians that represent samples of the population, we decided to use the T test. There were many reasons why we chose the T test, one of which is that all of our reviewers (Dr. Bianco, Amber and Mark) suggested we use a T test. The purpose of T test is to compare two numbers and the standard deviations of those distributions. Though Dr. Bianco has suggested we do a 1 sample to compare Saturday to the mean of Sunday, we additionally did a two sample t-test to compare Saturday overall to Sunday since they are both samples and neither represent the entire population.
Other options we discussed were chi square and z test, these were not appropriate because we are not measuring proportions and we don't the computing power to pull in the entire population.