Juniors and seniors were asked about their preferences for a prom theme. Students were given the choice between two themes: “A Night in Paris” or “Tropical Paradise”. A random sample of 275 juniors and seniors was selected. The prom coordinator constructed a frequency table to analyze the data.
A Night in Paris Tropical Paradise Total
Juniors 55 70 125
Seniors 45 105 150
Total 100 175 275
What was the difference in the percent of seniors that chose “Tropical Paradise” and the percent of juniors that chose “A Night in Paris”?
Answers
Given : Students were given the choice between two themes: “A Night in Paris” or “Tropical Paradise”. A random sample of 275 juniors and seniors was selected.
A Night in Paris Tropical Paradise Total
Juniors 55 70 125
Seniors 45 105 150
Total 100 175 275
To Find : difference in the percent of seniors that chose “Tropical Paradise” and the percent of juniors that chose “A Night in Paris”
Solution:
Seniors = 150
chose “Tropical Paradise” = 105
percent of seniors that chose “Tropical Paradise” = (105/150) * 100
= 70 %
Juniors = 125
chose “A Night in Paris” = 55
percent of seniors that chose “Tropical Paradise” = (55/125) * 100
=44 %
difference in the percent of seniors that chose “Tropical Paradise” and the percent of juniors that chose “A Night in Paris” = 70 - 44
= 26 %
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