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]

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

To find the percentage of respondents from the 46-55 age group who rated the film excellent, follow these steps:

1. Identify the total number of respondents in the 46-55 age group. According to the table, this total is 76.

2. Identify the number of respondents in the 46-55 age group who rated the film excellent. This number is 25.

3. Calculate the percentage of respondents from the 46-55 age group who rated the film excellent by dividing the number of excellent ratings by the total number of respondents in that age group. Then, multiply the result by 100 to convert it into a percentage:

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

Substituting in the known values:

[tex]\[
\text{Percentage} = \left(\frac{25}{76}\right) \times 100 = 32.89\%
\][/tex]

So, the percentage of respondents from the 46-55 age group who rated the film excellent is 32.89%.