Question

A study is being conducted to monitor how second-level students progress in education and how this is influenced by the economic position of their school. A randomly selected sample of such students who complete the Junior Cycle are identified; they are then categorized by their subsequent education outcome, Category A being little or no further education, to Category E the furthest level of education. The schools they attended are put in groups 1 to 3, with group 1 schools being the most economically disadvantaged, group 3 being the least disadvantaged. The numbers of pupils in each category of school with each type of educational outcome are given in the table in ‘Dataset'. Carry out an appropriate statistical test to determine whether the data support a link between the category of school and educational outcome.

Dataset:

	G1	G2	G3
A	25	21	9
B	23	16	14
C	20	19	21
D	22	16	16
E	30	12	22

Answer 1

We perform a chi-square test for independence of two attributes here.