Kendall asked 40 randomly-selected seniors at his high school about their plans for after they graduated. Twenty-nine students said they planned to go to college. If there are 380 seniors at Kendall’s high school, estimate the number who plan to go to college.

A. 245
B. 275
C. 310
D. 330

1 answer

To estimate the number of seniors who plan to go to college, we can use the proportion of seniors in the sample who said they planned to go to college.

Proportion of seniors in sample who plan to go to college = 29/40 = 0.725

We can use this proportion to estimate the number of seniors who plan to go to college in the whole school:

Number of seniors who plan to go to college = Proportion of seniors who plan to go to college x Total number of seniors

Number of seniors who plan to go to college = 0.725 x 380 ≈ 275

Therefore, the best estimate for the number of seniors who plan to go to college is option B, 275.