Q:

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 Which of these observations is supported by the data in the table? Note: A rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie.

Accepted Solution

A:
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 viewersGood : 42 viewersAverage: 12 viewersPoor : 7 viewersTotal viewers of this age group: 113Total audience: 446Therefore 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. ย 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.