+ Automatic Zoom of 21 4. (a) The ministry of education is considering funding pre-school education. Before making their recommendations, administrators take a random sample of 100 students from various areas to compare the performance of students in algebra between those who attended pre-school and those who did not. The results are summarised in the table below: Below Grade Level | At Grade Level | Advanced Pro-school 12 29 16 No pre-school 18 11 14 i. Based on the data in the table, and without conducting any significance test, would you say there is an association between attending pre-school and performance in algebra? ii. Calculate the x statistic and use it to test for independence between attending pre-school and performance in algebra at two appropriate significance levels. What do you conclude? (13 marks) (b) You have been asked to design a cluster random sample survey on public sept workers to examine whether satisfaction on working conditio varies between different job types. i. Discuss in no more than th frame. Also