A movie producer held a preview screening of her new movie to find out how the film would be received by viewers of different age groups. The table shows the number of viewers of different age groups who rated the movie as excellent, average, or poor. Note: A rating of "excellent" means the audience liked the movie, while a rating of "poor" means the audience disliked the movie.

Age Excellent Average Poor Marginal Total
16-30 78 33 43 154
30-44 33 41 37 111
45+ 38 23 20 81
MT: 149 97 100 346

Out of the total number of respondents, the percentage of respondents in the 30-44 age group who rated the film as excellent rounded to the nearest hundredth of

Answer :

Answer:

120%

Step-by-step explanation:

Because the answer is 1 1/5 that converted to a percentage(%) is 120%.  

9.53% people between the age 30 to 44 rated the movie as excellent.

What is percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.

According to the given question.

We have a data of people of different ages who rated the movie as excellent, Average, and poor.

Now,

Total number of people between the age 30 to 44 who rated the movie excellent is 33

And, the total number number of people who watched the movie is 346.

Therefore, the percentage of people who are in between 30 to 44 and  rated the movie as excellent is given by

[tex]percentage = \frac{total\ number\ of\ people\ between\ 30\ to\ 44\ and\ rated\ movie\ as\ excellent\ }{total\ number\ of\ people\ who\ watched\ the\ movie}[/tex]

[tex]\implies percentage = \frac{33}{346} =9.53\%[/tex]

Hence, 9.53% people between the age 30 to 44 rated the movie as excellent.

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