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Here is the reformatted text for improved readability:

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\begin{tabular}{|c|c|c|c|}
\hline
& Like Cantaloupe & Do Not Like Cantaloupe & Total \\
\hline
Cantaloupe & 93 & 16 & 109 \\
\hline
Not Cantaloupe & 66 & 25 & 91 \\
\hline
Total & 159 & 41 & 200 \\
\hline
\end{tabular}

Which is the marginal relative frequency for the people who do not like cantaloupe?

A. [tex]\(\frac{25}{91}\)[/tex]

B. [tex]\(\frac{66}{200}\)[/tex]

C. [tex]\(\frac{91}{200}\)[/tex]

D. [tex]\(\frac{66}{91}\)[/tex]

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This format provides a clear presentation of the table and the question, ensuring ease of understanding for the reader.



Answer :

GinnyAnswer
To determine the marginal relative frequency for the people who do not like cantaloupe, we start by understanding what marginal relative frequency represents. It is the ratio of the total number of people who fall into a specific category to the grand total of all individuals surveyed.

First, let's identify the total number of people who do not like cantaloupe. From the table, this total is already provided:

[tex]\[ \text{Not Cantaloupe Total} = 91 \][/tex]

Next, we need the grand total of all the individuals surveyed. Again, the table provides this information:

[tex]\[ \text{Grand Total} = 200 \][/tex]

The marginal relative frequency is then calculated by taking the ratio of the number of people who do not like cantaloupe to the grand total number of individuals. This is expressed as follows:

[tex]\[ \text{Marginal Relative Frequency} = \frac{\text{Not Cantaloupe Total}}{\text{Grand Total}} = \frac{91}{200} \][/tex]

Upon simplifying this fraction, we get:

[tex]\[ \text{Marginal Relative Frequency} = 0.455 \][/tex]

Therefore, matching this to the options given, the correct marginal relative frequency is:

[tex]\[ \frac{91}{200} \][/tex]

Thus, the answer is:

[tex]\[ \boxed{\frac{91}{200}} \][/tex]

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