Question

a dance student wants to know the favorite type of dance class for students at the dance academy. she surveys each student in her ballet class. in which way could the results of her survey be most improved? she could sample an equal number of students in each type of dance class. she could sample a proportional number of students in each type of dance class. she could sample one student in each type of dance class. she could sample one teacher from each type of dance class.

Explanation:

To get the most representative results about students' favorite dance - type at the academy, a proportional sample based on the number of students in each type of dance class is best. This accounts for differences in class sizes and gives a more accurate picture of overall preferences. Sampling one teacher or one student from each class is too limited, and sampling an equal number of students without considering class - size proportions can skew the results.

Answer:

She could sample a proportional number of students in each type of dance class.