Middle School

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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 |

Select the correct answer.

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

Answer :

Answer:

the answer is A. 6.19%

Step-by-step explanation:

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Rewritten by : Barada

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.