Question

multiple choice the relative frequency table shows the percentage of each type of art (painting or sculpture) in a museum that would be classified into different styles (modern or classical). based on these percentages, which statement is the best description of the conclusion you can make about the association between the two variables? a since the two types of art have similar percentages of each style, there is no reason to believe there is an association. b there is a potential association between the type of art and the style because you can reasonably predict the style of art (modern or classical) if you know the type (painting or sculpture). c there is a potential association between the type of art and the style because you can reasonably predict the type of art (painting or sculpture) if you know the style (modern or classical). d no conclusion can be made because not enough information is provided. paintings sculptures modern 41% 38% classical 59% 62%

Explanation:

To determine the association, we compare the percentages. For paintings: 41% modern, 59% classical. For sculptures: 38% modern, 62% classical. The differences in percentages (e.g., modern: 41 vs 38; classical: 59 vs 62) suggest a potential association—knowing the art type (painting/sculpture) helps predict style (modern/classical) as the proportions differ. Option C says there's a potential association between art type and style because you can predict style from art type, which matches this analysis. Option A is wrong (similar percentages? No, 41≠38, 59≠62). Option B confuses prediction direction (art type from style, but we see style from art type). Option D is wrong as we have enough info (percentages to compare).

Answer:

C. There is a potential association between the type of art and the style because you can reasonably predict the type of art (painting or sculpture) if you know the style (modern or classical).