Changing majors. A task force set up to examine retention of students in the majors that they chose when starting college examined data on transfers to other majors.25 Here are some data giving counts of students classified by initial major and the area that they transferred to:

Area transferred to Initial Manage- Liberal major Engineering ment arts Other Total Biology 13 25 158 398 Chemistry 16 15 19 114 Mathematics 3 11 20 72 Physics 9 5 14 61 Complete the table by computing the values for the “Other” column. Write a short paragraph explaining what conclusions you can draw about the relationship between initial major and area transferred to. Be sure to include numerical and graphical summaries as well as the details of your significance test.