As part of a hook exchange program initiated by the Eastern Pacific Regional Sea Turtle Program (EPRSTP), data on fish and sea turtle catch rates were collected for a large number of fishing lines. The goal of this paper is to find a statistically sound way to analyze these data, comparing two types of fish hooks in terms of their effects on turtle bycatch and catch rates for merchantable fish. The overall goal of this environmental project is to minimize the number of endangered sea turtles being caught on these fishing lines. We suggest an appropriate method for analyzing turtle bycatch data of the type collected by the EPRSTP. In this study, we generate probabilities at a line level under three different patterns simulating possible probabilities of catching a turtle along a line. Once these data were generated four different Mantel-Haenszel methods were compared as methods for analyzing the data. This study suggests that Mantel-Haenszel estimators proposed by Liang (1985) are appropriate for analyzing turtle bycatch data.