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 find 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, we see that 25 people in the [tex]$46-55$[/tex] age group rated the film as "excellent."

2. Determine the Total Number of Respondents Across All Age Groups:
The total number of respondents is given as 446.

3. Calculate the Percentage:
We need to find out what percentage 25 is of 446. This can be calculated using the formula for percentage:

[tex]\[
\text{Percentage} = \left(\frac{\text{Number of Excellent Ratings from $46-55$}}{\text{Total Number of Respondents}}\right) \times 100
\][/tex]

Plug in the numbers:

[tex]\[
\text{Percentage} = \left(\frac{25}{446}\right) \times 100
\][/tex]

4. Compute the Result:
When you perform this calculation, you'll get approximately 5.61%.

So, the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film as "excellent" is 5.61%.