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 | | on - campus | off - campus | total | freshmen | 0.44 | 0.28 | 0.72 | transfer students | 0.21 | 0.07 | 0.28 | total | 0.65 | 0.35 | 1 | what percentage of incoming freshmen plan to live on - campus? a. 56% b. 61.11% c. 67.69% d. 44%

Explanation:

Step1: Identify relevant values

We need the relative frequency of freshmen living on-campus ($0.44$) and the total relative frequency of freshmen ($0.72$).

Step2: Calculate conditional percentage

Divide the on-campus freshmen frequency by total freshmen frequency, then multiply by 100.
$\frac{0.44}{0.72} \times 100 \approx 61.11\%$

Answer:

B. 61.11%