Understand an association in terms of differences observed in percentages across categories in a systematic and concise manner, and interpret this in the context of the data.

A fitness centre surveyed its members to investigate whether there is an association between membership type and participation in group fitness classes. The results are shown in Table 1. Determine whether there is an association between membership type and participation in group fitness classes by: (a) calculating the percentage of casual members who participate in group fitness classes [1 mark] (b) calculating the percentage of annual members who participate in group fitness classes [1 mark] (c) comparing the two percentages and explaining what this suggests about the association. [2 marks]

A school surveyed students about whether they participate in organised sport. The results are shown in the table below. Justify whether there is an association between a student's year level and participation in organised sport by comparing the percentages of Year 7 and Year 11 students who participate.

A survey of 480 shoppers examined whether packaging colour influences purchase decisions. The table shows responses by gender. Which statement best interprets the association between gender and purchase influence by packaging colour?

A survey of music preferences was conducted among students from two different schools. The table below shows responses for students who prefer streaming services versus traditional radio. (a) Calculate the percentage of students from School A who prefer streaming services. (1 mark) (b) Calculate the percentage of students from School B who prefer streaming services. (1 mark) (c) Is there an association between a student's school and their music preference? Justify your answer by comparing the two percentages. (1 mark)