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 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 age group 46-55 who rated the film as 'excellent,' follow these steps:

1. Identify the relevant numbers:
- From the 46-55 age group, the number of respondents who rated the film as excellent is 25.
- The total number of respondents in the 46-55 age group is 76.

2. Calculate the percentage:
- Use the formula for percentage:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of respondents who rated excellent}}{\text{Total number of respondents in the age group}}\right) \times 100
\][/tex]

3. Substitute the given values into the formula:
- [tex]\[
\text{Percentage} = \left(\frac{25}{76}\right) \times 100
\][/tex]

4. Perform the division and multiplication:
- Divide 25 by 76 to get approximately 0.3289.
- Multiply 0.3289 by 100 to convert it into a percentage, which gives approximately 32.89%.

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