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

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

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

1. Identify the Number of Excellent Ratings: From the table, we know that 25 people in the 46-55 age group rated the film as excellent.

2. Determine the Total Respondents in the 46-55 Age Group: The total number of people in the 46-55 age group is 76.

3. Calculate the Percentage: To find the percentage, divide the number of excellent ratings by the total number of respondents in that age group, and then multiply by 100.

The calculation is:
[tex]\[
\left(\frac{25}{76}\right) \times 100 = 32.89\%
\][/tex]

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