1. A market research company has conducted a survey of adults in two large towns, either side of an international border, in order to judge attitudes towards a controversial internationally-broadcast celebrity television programme. The following table shows some of the information obtained by the survey: Town A Town Z Sample size 100 100 Sample number approving of the programme 55 51 (a) Conduct a formal hypothesis test, at two appropriate signicance levels, of the claim that the population proportions approving of the programme in the two towns are equal. (b) Would your conclusion be the same if, in both towns, the sample sizes had been 2,000 [with the same sample proportions of approvals and the same pooled sample proportion)