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: Analizar frecuencias relativas

Observamos valores en la tabla de frecuencia condicional.

Step2: Identificar diferencias

Vemos que para camisas grandes, la frecuencia relativa de sombreros infantiles es 0.2 y de sombreros adultos es 0.8. Estas diferencias indican una asociación. Mientras que si los valores fueran similares, no habría asociación evidente.

Answer:

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