The conditional relative frequency table below was generated by column from a frequency table comparing the gender of a student to what the student chose to wear on a specific day. Which would most likely indicate an association between the categorical variables? The value of G is similar to the value of H. The value of B is similar to the value of E. The value of G is not similar to the value of H. The value of B is not similar to the value of E.

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Answer:

The value of G is not similar to the value of H

Step-by-step explanation:

As we can see that the sum of all frequencies equal to 1

In the given figure, if we add these frequencies so it would appear as follows

Like

A + D + G = 1

B + E + H = 1

And it is mentioned that D is much less than E, so we assume that pants are most wear cloth than shorts for both the genders i.e female and male that results in G is more than H.

Hence, the third option is correct

Ver imagen andromache

Option C: The value of G is not similar to the value of H.

The given conditional relative frequency table looks like:

[tex]\begin{center}\begin{tabular}{ c c c c } - & Male & Female & Total \\ \\Shorts & A & B & C\\ Skirts& D & E & F\\ Pants & G & H & J\\ Total & 1.0 & 1.0 & 1.0\end{tabular}\end{center}[/tex]

The total frequency adds up to 1 for both columns of Male and Female.

A + D + G = 1

B + E + H = 1

Since it is given that D is much smaller than the value of E, and assuming that shorts are less likely to be worn by either of the genders male or female, we reach to the conclusion that value of G must be higher than the value of H.

Thus, Option C: The value of G is not similar to the value of H is correct.

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