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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

[tex]\[
\begin{tabular}{|c|c|c|c|c|c|}
\hline
Viewer's Age Group & Excellent & Good & Average & Poor & Marginal Total \\
\hline
$16-25$ & 52 & 42 & 12 & 7 & 113 \\
\hline
$26-35$ & 33 & 50 & 5 & 9 & 97 \\
\hline
$36-45$ & 58 & 12 & 28 & 34 & 132 \\
\hline
$46-55$ & 25 & 17 & 22 & 12 & 76 \\
\hline
$56+$ & 12 & 5 & 3 & 8 & 28 \\
\hline
Marginal Total & 180 & 126 & 70 & 70 & 446 \\
\hline
\end{tabular}
\][/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.



Answer :

GinnyAnswer
To determine the percentage of respondents from the 46-55 age group who rated the film excellent, follow these steps:

1. Identify the number of respondents from the 46-55 age group who rated the film as excellent. This value is given as 25.
2. Identify the total number of respondents from the 46-55 age group. This value is given as 76.
3. Calculate the percentage by dividing the number of respondents who rated the film excellent (25) by the total number of respondents in that age group (76).
4. Multiply the result by 100 to convert the fraction to a percentage.
5. Round the result to two decimal places.

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