Viewer's Age Group | Excellent | Good | Average | Poor | Marginal Total
-------------------|-----------|------|---------|------|---------------
16-25 | 52 | 42 | 12 | 7 | 113
26-35 | 33 | 50 | 14 | - | 97
36-45 | 58 | 12 | 28 | 34 | 132
46-55 | 25 | 17 | 22 | 12 | 76
56+ | 12 | 8 | 8 | - | 28
Marginal Total | 180 | 126 | 84 | 53 | 443

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 46-55 age group who rated the film excellent is ___%. (Write your answer up to two decimal places.)

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Calculate the percentage of respondents in the 46-55 age group who rated the film excellent. The percentage of respondents from the 46-55 age group who rated the film excellent is 32.89%

Explanation:

The percentage of respondents from the 46-55 age group who rated the film excellent can be calculated as:

Number of excellent ratings in the 46-55 age group / Total number of respondents in the 46-55 age group x 100%

Substitute the values into the formula:

25 / 76 x 100% = 32.89%

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