Question

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
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\?
%

Explanation:

Step1: Calculate percent of seniors choosing "Tropical Paradise"

Percent = (Number of seniors choosing "Tropical Paradise" / Total seniors) 100 = ($\frac{105}{150}$) 100 = 70%

Step2: Calculate percent of juniors choosing "A Night in Paris"

Percent = (Number of juniors choosing "A Night in Paris" / Total juniors) 100 = ($\frac{55}{125}$) 100 = 44%

Step3: Find the difference between the two percents

Difference = 70% - 44% = 26%

Answer:

26