Scott selected 20 employees at random from all 400 employees at a company. He found that 16 of the employees in this sample are enrolled in exactly three professional development courses this year. Based on Scott's findings, which of the following is the best estimate of the number of employees at the company who are enrolled in exactly three professional development courses this year?
Correct answer: B. 320
- A. 4
- B. 320
- C. 380
- D. 384
Explanation
Choice B is correct because the sample indicates that 80% of the employees are enrolled in exactly three professional development courses. By applying this percentage to the total company population of 400 employees, we estimate that 320 employees are enrolled in these courses. Other options are incorrect: 4 represents those not enrolled in the courses within the sample, 380 represents employees not selected for the sample, and 384 is an erroneous result from misapplying the percentage.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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