To determine which two-way table is a possible representation of the data collected, we need to compare the relative frequencies in the given table with the options W, X, Y, and Z.
Let's analyze each option:
Option W:
Turkey Ham Total
Mayonnaise 0.40 0.20 0.60
Mustard 0.18 0.22 0.40
Total 0.58 0.42 1.00
Comparing the relative frequencies in option W with the given table, we can see that the relative frequencies for "Turkey" and "Ham" are different, so option W is not a possible representation.
Option X:
Turkey Ham Total
Mayonnaise 0.34 0.28 0.62
Mustard 0.24 0.14 0.38
Total 0.58 0.42 1.00
Comparing the relative frequencies in option X with the given table, we can see that the relative frequencies for "Turkey" and "Ham" are different, so option X is not a possible representation.
Option Y:
Turkey Ham Total
Mayonnaise 0.38 0.24 0.62
Mustard 0.20 0.18 0.38
Total 0.58 0.42 1.00
Comparing the relative frequencies in option Y with the given table, we can see that the relative frequencies for "Turkey" and "Ham" match exactly, so option Y is a possible representation.
Option Z:
Turkey Ham Total
Mayonnaise 0.30 0.32 0.62
Mustard 0.28 0.10 0.38
Total 0.58 0.42 1.00
Comparing the relative frequencies in option Z with the given table, we can see that the relative frequencies for "Turkey" and "Ham" are different, so option Z is not a possible representation.
Therefore, the two-way table that is a possible representation of the data collected is:
Y.
Turkey Ham Total
Mayonnaise 0.38 0.24 0.62
Mustard 0.20 0.18 0.38
Total 0.58 0.42 1.00
