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A survey of randomly selected students was asked their main reason for choosing OUR University over other universities. The students' responses are shown in the following contingency table. Reason for choosing OUR University Student Reputation Tuition Total Canadian 90 30 120 International 60 20 80 Total 150 50 200 (a) Is there enough evidence to infer that the proportion of Canadian students whose main reason for choosing OUR University was 'Reputation' exceeded by more than 5% the proportion of International students whose main reason was the same? Assume that the level of significance is 1%. (b) Is there enough evidence to infer at the 2.5% level of significance that "Student" and "Reason for choosing OUR University" are dependent? [Assume that the value of the calculated Test Statistic is 25.18, based on the table shown above]. (c) Under what conditions should the pooled-variance t test be used to examine possible differences in the means of two independent samples