Question

the board of regents at hazelbury college plans to expand the availability of health care for students on campus. members of the board want to determine whether expanding the availability of virtual clinics or of in - person clinics would better meet students needs. each board member randomly surveys 20 students to see if there is a preference. here are the data from one board members sample: virtual clinics: 7; in - person clinics: 11; no preference: 2. what percentage of the students in this board members sample prefer in - person clinics? %

Explanation:

Step1: Find total number of students

To find the total number of students surveyed, we add the number of students who prefer virtual clinics, in - person clinics, and those with no preference. So, \(7 + 11+2=20\) (which matches the number of students each board member surveys).

Step2: Calculate the percentage for in - person clinics

The formula for percentage is \(\text{Percentage}=\frac{\text{Number of students who prefer in - person clinics}}{\text{Total number of students}}\times100\%\). We know that the number of students who prefer in - person clinics is \(11\) and the total number of students is \(20\). So, \(\text{Percentage}=\frac{11}{20}\times 100\% = 55\%\)

Answer:

\(55\)