To find the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film excellent, we follow these steps:
1. Identify the number of respondents from the [tex]$46-55$[/tex] age group who rated the film as excellent.
2. Identify the total number of respondents from the [tex]$46-55$[/tex] age group.
3. Calculate the percentage of respondents who rated the film excellent within this age group.
4. Round the result to two decimal places.
From the table:
- The number of respondents in the [tex]$46-55$[/tex] age group who rated the film excellent: 25
- The total number of respondents in the [tex]$46-55$[/tex] age group: 76
Now, calculate the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film excellent:
[tex]\[
\text{Percentage} = \left( \frac{\text{Number of Excellent Ratings}}{\text{Total Number of Respondents in Age Group}} \right) \times 100
\][/tex]
[tex]\[
\text{Percentage} = \left( \frac{25}{76} \right) \times 100
\][/tex]
Given the detailed solution already, we know the result is:
[tex]\[
32.89\%
\][/tex]
So, the percentage of respondents from the [tex]$46-55$[/tex] age group who rated the film excellent is:
32.89 %.
