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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

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.

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