a movie producer conducted a survey after the...

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.\n\n| viewer age group | excellent | good | average | poor | marginal totals |\n| ---- | ---- | ---- | ---- | ---- | ---- |\n| 16 - 25 | 52 | 42 | 12 | 7 | 113 |\n| 26 - 35 | 33 | 50 | 5 | 9 | 97 |\n| 36 - 45 | 58 | 12 | 28 | 34 | 132 |\n| 46 - 55 | 25 | 17 | 22 | 12 | 76 |\n| 56 and above | 12 | 5 | 3 | 8 | 28 |\n| marginal totals | 180 | 126 | 70 | 70 | 446 |\n\n13\nselect the correct answer.\nwhich of these observations is supported by the data in the table?\nnote: a rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie.\na. the majority of the audience in the 26 - 35 age group disliked the movie.\nb. among those who liked the movie, the majority were in the oldest age group.\nc. among those who disliked the movie, the majority were in the 26 - 35 age group.\nd. the majority of the audience in the 16 - 25 age group were in the 26 - 35 age group.\ne. the majority of the audience from the 16 - 25 age group liked the movie.

Answer

# Answer: E. The majority of the audience in the 16 - 25 age group liked the movie. # Explanation: ## Step1: Calculate likes for 16 - 25 group For 16 - 25 age group, number of 'good' and 'excellent' ratings are 52 and 42 respectively. So total likes = 52+42 = 94. ## Step2: Calculate dislikes for 16 - 25 group Number of 'average' and 'poor' ratings are 12 and 7 respectively. So total dislikes = 12 + 7=19. ## Step3: Compare likes and dislikes Since 94>19, the majority of the audience in the 16 - 25 age group liked the movie. For option A: In 26 - 35 age group, likes (33 + 50=83) and dislikes (5 + 9 = 14), so majority liked not disliked. For option B: Among those who liked (180 + 126=306), number in oldest age group (56 and above) with likes (12+5 = 17) is not the majority. For option C: Among those who disliked (70+70 = 140), number in 26 - 35 age group with dislikes (5 + 9=14) is not the majority. For option E: Total likes (180+126 = 306) and total dislikes (70 + 70=140), so majority liked not disliked.