Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

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

Note: A rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie.

A movie producer conducted a survey after a preview screening of her new movie to find out how the film would be received by viewers from different age groups. The table shows the numbers of viewers in different age groups who rated the film excellent, good, average, and poor.

Out of the total respondents, the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film excellent is [tex]$\square \%$[/tex]. Write your answer up to two decimal places.

To determine the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film as excellent, follow these steps:

1. Identify the number of respondents from the [tex]$46-55$[/tex] age group who rated the film excellent:
From the table, the number of respondents in the [tex]$46-55$[/tex] age group who rated the film as excellent is 25.

2. Identify the total number of respondents who rated the film excellent:
The table shows that 180 respondents rated the film as excellent overall.

3. Calculate the percentage:
To find the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film as excellent, use the formula:

[tex]\[
\text{Percentage} = \left(\frac{\text{Number of excellent ratings from } 46-55 \text{ age group}}{\text{Total number of excellent ratings}}\right) \times 100
\][/tex]

Substituting the values:

[tex]\[
\text{Percentage} = \left(\frac{25}{180}\right) \times 100
\][/tex]

4. Result:
After calculating, the percentage is approximately 13.89%.

Therefore, the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film as excellent is 13.89%.