Answered

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Viewer's Age Group Excellent Good Average Poor Marginal Total
16–25 52 42 12 7 113
26–35 33 50 5 9 97
36–45 58 12 28 34 132
46–55 25 17 22 12 76
56+ 12 5 3 8 28
Marginal Total 180 126 70 70 446
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 the percentage of respondents from the 26–35 age group who rated the film good?
Write your answer up to two decimal places.

Answer :

Using the percentage concept, it is found that 51.54% of respondents from the 26–35 age group rated the film good.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem:

  • There is a total of 97 people in the 26–35 age group, hence b = 97.
  • Of those, 50 rated the film as good, hence a = 50.

Then:

[tex]P = \frac{50}{97} \times 100\% = 51.54\%[/tex]

51.54% of respondents from the 26–35 age group rated the film good.

You can learn more about the percentage concept at https://brainly.com/question/10491646

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