Please show detailed calculation and explanation. DO NOT use computer programing. Thank you
The University of California (UC) system is interested in determining whether or not the proportion of students continuing graduate studies is different between UC Berkeley and UC Los Angeles undergraduate seniors. Of 200 UC Berkeley seniors surveyed, 60 were planning on attending Graduate School. At UC Los Angeles, 400 seniors were siuveyed and 100 indicated that they were planning to attend Graduate School. Determine a 95% confidence inteival estimate for the difference between the proportion of seniors at the two universities that were planning to attend Graduate School. Is there conclusive evidence to prove that the proportion of students from UC Berkeley who plan to go to Graduate School is significantly more than those from UC Los Angeles? Explain.