Non-response to surveys is a continual problem for researchers. To test whether city and type of response are independent, a survey was done, with the results are provided in the table below.

You are also told that the calculated test statistic is 5.27.

City	Adelaide	Sydney	Total
Response	75	98	173
Non-response	142	118	260
Total	217	216	433

SHOW YOUR WORKINGS.

a) Write hypotheses to test for independence.

b) Give the critical value to test at the 5% level of significance.

c) Give your decision and conclusion.