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 in the 46-55 age group who rated the film as excellent.
2. Determine the total number of respondents in the 46-55 age group.
3. Use the formula for percentage: [tex]\[ \text{Percentage} = \left( \frac{\text{Number of excellent ratings}}{\text{Total number of ratings}} \right) \times 100 \][/tex]
4. Insert the identified values and calculate the percentage.
5. Round the answer to two decimal places.
Given:
- Number of respondents in the 46-55 age group who rated the film excellent: 25
- Total number of respondents in the 46-55 age group: 76
Using the formula:
[tex]\[ \text{Percentage} = \left( \frac{25}{76} \right) \times 100 \approx 32.89 \][/tex]
Thus, the percentage of respondents from the 46-55 age group who rated the film excellent is 32.89%.