A movie producer conducted a survey after the screening of his movie to find out viewers' opinions. The two-way table indicates the number of responses for each category.

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

Select the correct answer.

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

A. [tex]6.19\%[/tex]
B. [tex]10.00\%[/tex]
C. [tex]25.34\%[/tex]
D. [tex]15.70\%[/tex]
E. [tex]16.22\%[/tex]

To find the percentage of the audience from the 16-25 age group who gave the movie a poor rating, follow these steps:

1. Identify the number of people who gave a "Poor" rating in the 16-25 age group: From the table, this number is 7.

2. Identify the total number of people in the 16-25 age group: Again, from the table, this number is 113.

3. Calculate the percentage: To find the percentage, take the number of people who gave a "Poor" rating (7) and divide it by the total number of people in the 16-25 age group (113). Then, multiply the result by 100 to convert it to a percentage.

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

4. Compute the result: The calculation results in approximately 6.19%.

Therefore, the percentage of the audience from the 16-25 age group who gave the movie a poor rating is approximately 6.19%. The correct answer is:

A. 6.19%