Question

question 9. the operator of the local mall wants to find out how many of the mall’s employees make purchases in the food court when they are working. she hopes to use these data to increase the rent and attract new food vendors. in total, there are 1023 employees who work at the mall. the best method to obtain a random sample of the employees would be to survey: a. every 30th employee entering each mall entrance for one week b. all 170 employees at each of the larger stores c. 50% of the 90 employees of the food court d. every employee

Explanation:

To get a random sample of all 1023 mall employees, we analyze each option:

• Option A: Surveying every 30th employee entering each mall entrance for a week is a systematic random sampling method. It can cover a random subset of all employees over time and across entrances, making it representative.
• Option B: Surveying all employees at larger stores only samples from larger stores, ignoring smaller stores' employees, so it's not random or representative of all 1023.
• Option C: Surveying 50% of food court employees only samples food court staff, not all mall employees, so it's biased.
• Option D: Surveying every employee is a census, not a sample, and the question asks for a sample method.

So the best method for a random sample is Option A.

Answer:

A. every 30th employee entering each mall entrance for one week