Question

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.

Explanation:

Step1: Analyze conditional - relative frequencies

In conditional - relative frequency tables, if the conditional relative frequencies for different categories are very different, there is likely an association.

Step2: Check the given frequencies

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 values are quite different.

Answer:

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