Modded SAT Question Bank
by Abdullah Mallik dedicated to DPT SAT Batches and Someone Special | GitHub
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Test
Math
Domain
Problem-Solving and Data Analysis
Skill
Inference from sample statistics and margin of error
Difficulty
Easy
ID: e7d9649f
Modded SAT Question Bank by Abdullah Mallik

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?

  1. 350
  2. 2,100
  3. 7,500
  4. 10,500
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Correct Answer: B
Rationale

Choice B is correct. Let x be the number of people in the entire town that would be expected to name chocolate. Since the sample of 50 people was selected at random, it is reasonable to expect that the proportion of people who named chocolate as their favorite ice-cream flavor would be the same for both the sample and the town population. Symbolically, this can be expressed as the fraction 7 over 50, end fraction, equals, the fraction x over 14,878. Using cross multiplication, 7 times 14,878 equals, x times 50; solving for x yields 2,083. The choice closest to the value of 2,083 is choice B, 2,100.

Choices A, C, and D are incorrect and may be the result of errors when setting up the proportion, solving for the unknown, or incorrectly comparing the choices to the number of people expected to name chocolate, 2,083.

Question Difficulty: Easy
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