A large company surveys 100 employees by taking random samples of 10 managers and 90 non-managerial employees.

1. Break Down the Problem

To analyze the survey's demographics, we must consider the following:

1. Total number of employees surveyed: 100.
2. Number of managers surveyed: 10.
3. Number of non-managerial employees surveyed: 90.

2. Relevant Concepts

The key statistical concept here is stratified sampling, where the population is divided into subgroups (managers and non-managers), and samples are drawn from each subgroup to ensure representation.

3. Analysis and Detail

• Total Employees: The company has 100 employees.
• Sample Composition:
  • Managers: The sample includes 10 managers.
  • Non-Managers: The sample includes 90 non-managerial employees.

This sampling method helps ensure that both managerial and non-managerial perspectives are included in the survey results.

4. Verify and Summarize

Since the sampling is random and reflects the structure of the workforce, we can summarize the findings:

• The proportion of managers surveyed (10 out of 100) is 10%.
• The proportion of non-managers surveyed (90 out of 100) is 90%.

Final Answer

The survey comprises 10% managers and 90% non-managers among 100 employees surveyed. This stratified approach allows insights into both groups within the company.