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 & \\

\hline

26-35 & 33 & 50 & 5 & 9 & 113 \\

\hline

36-45 & 58 & 12 & 28 & 34 & 97 \\

\hline

46-55 & 25 & 17 & 22 & 12 & 132 \\

\hline

56+ & 12 & 5 & 3 & 8 & 76 \\

\hline

\text{Marginal Total} & 180 & 126 & 70 & 70 & 28 \\

\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, what is the percentage of respondents from the 46-55 age group who rated the film excellent? Write your answer up to two decimal places.

[tex]$\_\_\_\_\_$[/tex] %

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 Excellent Ratings in the 46-55 Age Group:
- From the given table, the number of people in the 46-55 age group who rated the film as excellent is 25.

2. Determine the Total Number of Respondents in the 46-55 Age Group:
- According to the table, the total number of respondents in the 46-55 age group is 132.

3. Calculate the Percentage:
- Use the formula for percentage: [tex]\[(\text{Number of Excellent Ratings} / \text{Total Number of Respondents}) \times 100\][/tex]
- Substitute the values: [tex]\[(25 / 132) \times 100\][/tex]

4. Compute the Result:
- Perform the division and then multiply by 100 to convert it into a percentage. This calculation gives approximately 18.94%.

Therefore, the percentage of respondents from the 46-55 age group who rated the film as excellent is approximately 18.94%.