Hello, I've tried pretty hard but I just cannot reproduce the value of the test statistic that is given in the question in 9.(iii). I've attached it here. Basically the question says the results give a chi^2 value of 3.332. However I get a chi^2 value of 1.41. I know that the question doesn't ask you to calculate this (because it's given in the question!). My method was that the observed values for England, Wales and Scotland are: 62% * 200 people, 53% * 200 people, and so on. The expected values I used came from summing up the total number of people in favour (=346 people) and proportioning this out equally to each country (=115.3 people per country). Then I did the usual sum of (Actual-Expected)^2/Expected and this gave me 1.41 (not 3.332). Really appreciate it if anyone can validate my method?
^Please note that I did this exercise just to see if I could reproduce the question. I assume that they only gave the chi^2 value in the question to save time.
I think you forgot the second line in the table of those against the proposal (total 254 people) and expected 84.667 in each. I get a total of 3.332.
Ah yes, that's it... Thanks a lot, don't think I would have spotted it. Just over a week left to iron out mistakes like these!