Question

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.

viewers age group	excellent	good	average	poor	marginal totals
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

5
select the correct answer.
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.
a. the majority of the audience in the 26 - 35 age group disliked the movie.
b. among those who liked the movie, the majority were in the oldest age group.
c. among those who disliked the movie, the majority were in the 26 - 35 age group.
d. the majority of the audience in the 16 - 25 age group liked the movie.
e. the majority of the audience from all the age groups disliked the movie.

Explanation:

• For option A: In 26 - 35 age group, liked (good + excellent) = 33 + 50 = 83, disliked = 9. 83 > 9, so majority liked, A wrong.
• For option B: Total who liked = 180 + 126 = 306. Oldest (56 and above) who liked = 12 + 5 = 17. Not majority, B wrong.
• For option C: Total who disliked = 70. 26 - 35 disliked = 9, 36 - 45 disliked = 34 (majority here), so C wrong.
• For option D: 16 - 25 who liked = 52 + 42 = 94, total in group = 113. 94 > 113/2, so majority liked, D correct.
• For option E: Total who liked = 306, total who disliked = 70. 306 > 70, so majority liked, E wrong.

Answer:

D. The majority of the audience in the 16 - 25 age group liked the movie.