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A movie producer conducted a survey after the screening of his movie to find out how the film would be received by viewers from different age groups. The columns in the two-way table indicate the numbers of viewers who rated the film on a four-point scale: excellent, good, average, and poor. Viewer's Age Group Excellent Good Average Poor Marginal Totals 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 and Above 12 5 3 8 28 Marginal Totals 180 126 70 70 446 41 Select the correct answer. What percentage of the audience from the 16-25 age group gave the movie a poor rating?

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Answer:

6.2% of viewers of the 16-25 age group gave the movie a poor rating and they represent 1.57% of the total audience.

Step-by-step explanation:

1. Based on the information provided, this was rating that viewers from 16-25 age group qualified the movie:

Excellent : 52 viewers

Good : 42 viewers

Average: 12 viewers

Poor : 7 viewers

Total viewers of this age group: 113

Total audience: 446

Therefore the percentages calculated from the total viewers of this age group and from the total audience were:

Excellent : 52/113 = 46.02% and 52/446= 11.66%

Good : 42/113 = 37.17% and 42/446 = 9.42%

Average: 12/113 = 10.62% and 12/446 = 2.7%

Poor : 7/113 = 6.2% and 7/446 = 1.57%

2.  What percentage of the audience from the 16-25 age group gave the movie a poor rating?

6.2% of viewers of the 16-25 age group gave the movie a poor rating and they represent 1.57% of the total audience.

Answer:

the answer is A. 6.19%

Step-by-step explanation:

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