Question

A random sample of 50 people from a town with a

population of 14,878 were asked to name their
favorite flavor of ice cream. If 7 people in the sample
named chocolate as their favorite ice-cream flavor,
about how many people in the town would be
expected to name chocolate?
A)
350
B) 2,100
C) 7,500
D) 10,500

Answer 1

The closest answer among the given options is B) 2,100.

To estimate the number of people in the town who would name chocolate as their favorite ice-cream flavor, we can use proportions. We know that 7 out of 50 people in the sample named chocolate as their favorite. To find the proportion of chocolate lovers in the sample, we can divide the number of chocolate lovers by the total number of people surveyed:

7 chocolate lovers / 50 people surveyed = 0.14

Now, we can apply this proportion to the total population of the town to estimate the number of chocolate lovers:

0.14 * 14,878 (total population) ≈ 2,082.92

Since we can't have a fraction of a person, we can round this number to the nearest whole number:

Approximately 2,083 people in the town would be expected to name chocolate as their favorite ice-cream flavor.

The closest answer among the given options is B) 2,100.