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.\nhat size and shirt size\n| |child - sized hat|adult - sized hat|total|\n|--|--|--|--|\n|medium shirt|≈0.67|≈0.33|1.0|\n|large shirt|0.2|0.8|1.0|\n|total|0.48|0.52|1.0|\nthe coach attempts to determine an association between shirt size and hat size. which is most likely true?\nan association cannot be determined because 0.48 is similar to 0.52.\nan association cannot be determined because the sum of each column is not 1.0.\nthere is likely an association because 0.8 is not similar to 0.2.\nthere 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.\nhat size and shirt size\n| |child - sized hat|adult - sized hat|total|\n|--|--|--|--|\n|medium shirt|≈0.67|≈0.33|1.0|\n|large shirt|0.2|0.8|1.0|\n|total|0.48|0.52|1.0|\nthe coach attempts to determine an association between shirt size and hat size. which is most likely true?\nan association cannot be determined because 0.48 is similar to 0.52.\nan association cannot be determined because the sum of each column is not 1.0.\nthere is likely an association because 0.8 is not similar to 0.2.\nthere is likely an association because 0.8 is not similar to ≈0.33.

Answer

Explanation:

Step1: Understand conditional relative - frequency

Conditional relative - frequency helps in determining associations. If the conditional relative frequencies for different categories are very different, there is likely an association.

Step2: Analyze the given data

For large - sized shirts, the conditional relative frequency of adult - sized hats is 0.8, and for medium - sized shirts, the conditional relative frequency of adult - sized hats is approximately 0.33. These values are quite different.

Answer:

There is likely an association because 0.8 is not similar to ≈ 0.33.