A survey was conducted in order to examine potential differences of opinion regarding a new taxation policy in 3 major cities of England (London, Birmingham, Manchester).

The responses were measured on a binary scale (in favour, against) and are summarised in the table below.

London Birmingham Manchester

In favour 56 34 28

Against 44 46 42

(a) Test for an association between a person's opinion on the new taxation policy and the city of residence at two appropriate significance levels. State the null and alternative hypotheses clearly.

(b) Comment on your results, describing potential associations in detail. Discuss the potential differences in rates in favour of the new taxation policy across different cities.