Comparing Counts Between Two Independent Groups

I have 2 groups of patients and I'm looking at what percentage were discharged from the hospital at different time points after surgery.

            Day 1     Day 2     Day 3     Day 4
Group 1     12%       10%       25%       12%
Group 2     50%       20%       20%       15%


What is the most appropriate statistical test for this? These are two separate groups of patients and the total number of patients in each group is different. As far as the raw numbers, some of the values are less than 5 so I don't think I can use chi-square. I would appreciate your thoughts.

• When you say "I'm looking at what percentage were discharged from the hospital at different time points after surgery" you're asking a question about point estimation. When you say "What is the most appropriate statistical test for this?" you're asking an entirely different question. You should be clear whether your interest is in estimation of values or testing for differences. – Glen_b -Reinstate Monica Dec 24 '13 at 2:28
• My interest is in comparing the two groups. – area51 Dec 24 '13 at 16:21
• In comparing discharge-rate estimates (e.g. that one occurs a certain amount earlier) or in saying whether they're more different that would occur by chance? – Glen_b -Reinstate Monica Dec 24 '13 at 16:23