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

[tex]\[

\begin{array}{|c|c|c|c|c|c|}

\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

\multicolumn{6}{|l|}{\text{Note: A rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie.}} \\

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

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

1. Identify the number of respondents from the 46-55 age group who rated the film as excellent.
According to the table, there are 25 people in the 46-55 age group who rated the film as excellent.

2. Determine the total number of respondents within the 46-55 age group.
The total number of people in the 46-55 age group is 76.

3. Calculate the percentage of respondents in the 46-55 age group who rated the film as excellent.
Use the formula for percentage:
[tex]\[
\text{Percentage} = \left( \frac{\text{Number of Excellent Ratings}}{\text{Total Number of Respondents in the Age Group}} \right) \times 100
\][/tex]
Here, the calculation will be:
[tex]\[
\text{Percentage} = \left( \frac{25}{76} \right) \times 100
\][/tex]

4. Compute the percentage and round it to two decimal places.
The calculation gives approximately 32.89% when rounded to two decimal places.

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