Question

WILL MEDAL AND FAN

The owner of a large company is conducting a survey about job satisfaction, including questions about salary, hours, stress, and other conditions. There are about eight hundred employees in the company, including one hundred executive positions, six hundred fifty middle-management positions, and fifty custodial positions. The owner wants to include about ten percent of his employees in the survey sample.

Identify a sampling method that would lead to a representative sample for the survey. Explain why it would be a good choice and give details about the process.

Answer 1

800 employees, want to sample 10%, so the sample size will be 80.

You want a representative sample with the same proportion of workers as the whole population.

Take 10% of each of the different positions:

10% of 100 = 10 executives
10% of 650 = 65 middle managers
10% of 50 = 5 custodial workers

So pick 10 random executives, 65 random middle managers, and 5 random custodial workers. That way your sample is representative of the population.