Answered

Refer to the table below:

[tex]\[
\begin{tabular}{|c|c|c|c|}
\hline
& Like & Dislike & Total \\
\hline
Cantaloupe & 93 & 16 & 109 \\
\hline
Not Cantaloupe & 66 & 25 & 91 \\
\hline
Total & 159 & 41 & 200 \\
\hline
\end{tabular}
\][/tex]

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]



Answer :

GinnyAnswer
To find the marginal relative frequency for the people who do not like cantaloupe, we need to follow these steps:

1. Identify the total number of people surveyed, which is given in the table as 200.
2. Identify the total number of people who do not like cantaloupe, which is given in the table as 91.
3. Calculate the marginal relative frequency by dividing the number of people who do not like cantaloupe by the total number of people surveyed.

Using this information:

[tex]\[ \text{Marginal relative frequency} = \frac{\text{Total number of people who do not like cantaloupe}}{\text{Total number of people surveyed}} \][/tex]

Substituting the given values:

[tex]\[ \text{Marginal relative frequency} = \frac{91}{200} \][/tex]

When this fraction is simplified, it gives the result:

[tex]\[ \frac{91}{200} = 0.455 \][/tex]

Thus, the marginal relative frequency for the people who do not like cantaloupe is [tex]\(\frac{91}{200}\)[/tex].

The correct answer is:

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

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