the conditional relative frequency table was generated by row using frequency table data comparing the hat…

the conditional relative frequency table was generated by row using frequency table data comparing the hat size and shirt size of children on a baseball team. hat size and shirt size child - sized hat adult - sized hat total medium shirt ~0.67 ~0.33 1.0 large shirt 0.2 0.8 1.0 total 0.48 0.52 1.0 the coach attempts to determine an association between shirt size and hat size. which is most likely true? an association cannot be determined because 0.48 is similar to 0.52. an association cannot be determined because the sum of each column is not 1.0. there is likely an association because 0.8 is not similar to 0.2. there is likely an association because 0.8 is not similar to ~0.33.

the conditional relative frequency table was generated by row using frequency table data comparing the hat size and shirt size of children on a baseball team. hat size and shirt size child - sized hat adult - sized hat total medium shirt ~0.67 ~0.33 1.0 large shirt 0.2 0.8 1.0 total 0.48 0.52 1.0 the coach attempts to determine an association between shirt size and hat size. which is most likely true? an association cannot be determined because 0.48 is similar to 0.52. an association cannot be determined because the sum of each column is not 1.0. there is likely an association because 0.8 is not similar to 0.2. there is likely an association because 0.8 is not similar to ~0.33.

Answer

Answer:

There is likely an association because 0.8 is not similar to 0.2.

Explanation:

Step1: Analyze conditional relative - frequencies

In conditional relative - frequency tables, if the conditional relative frequencies for different categories are very different, it indicates an association. For large - shirt children, the relative frequency of having an adult - sized hat is 0.8 and the relative frequency of having a child - sized hat is 0.2. These two values are quite different. This shows that the hat size is related to the shirt size. The other explanations are incorrect. Just because the column sums are not 1.0 does not mean an association cannot be determined. Also, comparing 0.48 and 0.52 (total column frequencies) is not relevant for determining the association between shirt size and hat size for individual shirt - size categories. And comparing 0.8 and 0.33 is not the most appropriate comparison as they are from different shirt - size rows.