Additionally, Charter school supporters have performed the following analysis. They focused on charter schools where demand was higher than supply. Then, they compared the graduation rate of students who went to charter schools by lottery to that of students who were left out by the lottery. They found that the graduation rate of the former group was higher than that of the latter group. Thus, they concluded that if all the traditional public schools are turned into charter schools, high school graduation rates would increase. Do you agree with this interpretation of the data? Fully justify your answer.