A movie producer conducted a survey after the screening of a new film to find out how it would be received by viewers from different age groups. The columns in the two-way table indicate the numbers of viewers who rated the film on a four-point scale: excellent, good, average, and poor.

[tex]
\[
\begin{tabular}{|l|l|l|l|l|l|}
\hline
Viewer's Age Group & Excellent & Good & Average & Poor & Marginal Totals \\
\hline
16-25 & 52 & 42 & 12 & 7 & 113 \\
\hline
26-35 & 33 & 50 & 5 & 9 & 97 \\
\hline
36-45 & 58 & 12 & 28 & 34 & 132 \\
\hline
46-55 & 25 & 17 & 22 & 12 & 76 \\
\hline
56 and Above & 12 & 5 & 3 & 8 & 28 \\
\hline
Marginal Totals & 180 & 126 & 70 & 70 & 446 \\
\hline
\end{tabular}
\]
[/tex]

What percentage of the audience from the 16-25 age group gave the movie a poor rating?

A. [tex]$6.19 \%$[/tex]
B. [tex]$25.34 \%$[/tex]
C. [tex]$15.70 \%$[/tex]
D. [tex]$16.22 \%$[/tex]

We start by noting that for the age group 16–25 there are 113 viewers in total, and out of these, 7 viewers rated the movie as poor.

The percentage of viewers from the 16–25 age group who gave the movie a poor rating is calculated using the formula:

[tex]$$
\text{Percentage} = \left(\frac{\text{Number of poor ratings}}{\text{Total viewers in the age group}}\right) \times 100
$$[/tex]

Substituting the given numbers:

[tex]$$
\text{Percentage} = \left(\frac{7}{113}\right) \times 100 \approx 6.19\%
$$[/tex]

Thus, approximately [tex]$6.19\%$[/tex] of the audience in the 16–25 age group gave the movie a poor rating.