Question

mr. edwards is the principal of a 2,400 - student high school, and he is starting a weekly volunteering program. for planning purposes, he wants to estimate how many students might be interested in participating. mr. edwards asks the school’s academic counselors to each randomly survey 10 students and record their responses. here are the data from one counselor’s sample, with y indicating a student who is interested in participating and n indicating a student who is not interested in participating: y n n y n n n y n n based on the results of the sample, how many of the 2,400 students in the school should mr. edwards expect to be interested in participating in the volunteering program? \boxed{} students

Explanation:

Step1: Count interested students in sample

In the sample of 10 students, the 'y's (interested) are at positions 1, 4, 8. So count of 'y' is 3.

Step2: Find proportion of interested in sample

Proportion \( p = \frac{\text{Number of interested in sample}}{\text{Sample size}} = \frac{3}{10} \)

Step3: Estimate total interested in school

Total students in school is 2400. Estimated interested \( = p \times 2400 = \frac{3}{10} \times 2400 \)
Calculate \( \frac{3}{10} \times 2400 = 3 \times 240 = 720 \)

Answer:

720