Inquiring minds would like to know, is there an association between people's opinion of the alternative rock band Xylophone Rage and their age? Here are some data that address this question, Age Group 11-14 years 15-18 years 19-22 years Total Opinion Like 18 38 40 96 Of Dislike 3O 10 67 107 Band Uncertain 15 17 15 47 Total 63 65 122 250 (a) Compute the distribution of opinion of the band for each age group using relative frequencies You may present your answer in table form if convenient. [4] (b) Construct a segmented bar graph for the distribution of opinion of the band for each age group. Make sure to title your graph/axes, and provide a key if appropriate. [4] (c) i. In context, what does it mean if there is an association between age and opinion of the band? [4] ii. Do the data provide evidence of such an association? Justify your answer. (d) Convert your graph in part (b) to a mosaic plot. Graph need not be exact and you can estimate the size of each portion. [3]