An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (1)
Analyze each statement based on the data in the table.
Calculate the number of viewers who liked or disliked the movie in each age group.
Compare the calculated values to determine which statement is supported by the data.
The majority of the audience in the 16-25 age group liked the movie: D .
Explanation
Understand the problem and provided data We are given a table that summarizes the results of a movie screening survey. The survey asked viewers from different age groups to rate the movie on a four-point scale: Excellent, Good, Average, and Poor. Our goal is to identify the statement that is supported by the data in the table.
Analyze each statement Let's analyze each statement:
A. The majority of the audience in the 26-35 age group disliked the movie. 'Disliked' means 'Average' or 'Poor'. For the 26-35 age group, the number of 'Average' ratings is 5, and the number of 'Poor' ratings is 9. So, the total number of viewers who disliked the movie is 5 + 9 = 14 . The total number of viewers in the 26-35 age group is 97. Half of this number is 97/2 = 48.5 . Since 14 < 48.5 , the majority of the audience in the 26-35 age group did not dislike the movie. Therefore, statement A is incorrect.
B. Among those who liked the movie, the majority were in the oldest age group. 'Liked' means 'Excellent' or 'Good'. The total number of 'Excellent' ratings is 180, and the total number of 'Good' ratings is 126. So, the total number of viewers who liked the movie is 180 + 126 = 306 . The number of viewers in the oldest age group (56 and Above) who rated the movie 'Excellent' or 'Good' is 12 + 5 = 17 . Half of the total 'Excellent' and 'Good' ratings is 306/2 = 153 . Since 17 < 153 , the majority of those who liked the movie were not in the oldest age group. Therefore, statement B is incorrect.
C. Among those who disliked the movie, the majority were in the 26-35 age group. 'Disliked' means 'Average' or 'Poor'. The total number of viewers who rated the movie 'Average' or 'Poor' is 70 + 70 = 140 . The number of viewers in the 26-35 age group who rated the movie 'Average' or 'Poor' is 5 + 9 = 14 . We need to check if 14 is the majority among those who disliked the movie. The 'Average' and 'Poor' ratings for each age group are:
16-25: 12 + 7 = 19
26-35: 5 + 9 = 14
36-45: 28 + 34 = 62
46-55: 22 + 12 = 34
56 and Above: 3 + 8 = 11 Since 62 > 14, the majority of those who disliked the movie were not in the 26-35 age group. Therefore, statement C is incorrect.
D. The majority of the audience in the 16-25 age group liked the movie. 'Liked' means 'Excellent' or 'Good'. For the 16-25 age group, the number of 'Excellent' ratings is 52, and the number of 'Good' ratings is 42. So, the total number of viewers who liked the movie is 52 + 42 = 94 . The total number of viewers in the 16-25 age group is 113. Half of this number is 113/2 = 56.5 . Since 56.5"> 94 > 56.5 , the majority of the audience in the 16-25 age group did like the movie. Therefore, statement D is correct.
E. The majority of the audience from all the age groups disliked the movie. 'Disliked' means 'Average' or 'Poor'. The total number of viewers who rated the movie 'Average' or 'Poor' is 70 + 70 = 140 . The total number of viewers is 446. Half of this number is 446/2 = 223 . Since 140 < 223 , the majority of the audience from all age groups did not dislike the movie. Therefore, statement E is incorrect.
Conclusion Based on our analysis, the only statement supported by the data in the table is D. The majority of the audience in the 16-25 age group liked the movie.
Examples
Understanding audience preferences through surveys is crucial in the movie industry. For instance, a producer might use this type of analysis to decide which age groups to target in their marketing campaigns or to identify aspects of the movie that resonated well with certain demographics. If a movie is particularly popular with a younger audience, the marketing team might focus on social media and online advertising to reach that group. Conversely, if an older demographic disliked certain elements, the producer might consider these insights for future projects. This data-driven approach helps optimize a movie's success by aligning it with audience expectations and preferences.
