Question

a university administered a survey to all incoming students regarding living arrangements for the upcoming school year. the results of the survey are displayed in the following two - way relative frequency table.
university living arrangements
what percentage of incoming freshmen plan to live on - campus?
a. 67.69%
b. 61.11%
c. 56%
d. 44%

Explanation:

Step1: Identify the relevant data

We need to find the percentage of incoming freshmen who plan to live on - campus. From the table, the relative frequency of freshmen living on - campus is \(0.44\) and the total relative frequency of freshmen is \(0.72\).
The formula for conditional relative frequency (in this case, the percentage of freshmen living on - campus) is \(\frac{\text{Relative frequency of freshmen on - campus}}{\text{Relative frequency of freshmen}}\times100\%\)

Step2: Calculate the percentage

Substitute the values into the formula: \(\frac{0.44}{0.72}\times 100\%=\frac{44}{72}\times100\% \approx 61.11\%\)

Answer:

B. \(61.11\%\)