A Researcher Wants to Estimate the Proportion of the Manufacturing

question 42

Multiple Choice

A researcher wants to estimate the proportion of the manufacturing companies that use the Six Sigma method. For this purpose, she will take a random sample of 50 manufacturing companies and find out how many of them use this method. She estimates that the proportion will be anywhere from 0.4 to 0.55. Of all these proportions, which one would produce the narrowest 95% confidence interval for the population proportion?

• A) 0.4
• B) 0.45
• C) 0.5
• D) 0.55
• E) 0.6

---

Definitions:

Culture

An information-based system that includes shared ideas and common ways of doing things.

Survival of the Fittest

A concept from evolutionary theory suggesting that organisms best adapted to their environment are more likely to survive and reproduce.

Gene Pool

The complete set of unique alleles within an interbreeding population, representing the genetic diversity of that group.

Physical Fitness

A state of health and well-being achieved through regular exercise, proper nutrition, and sufficient rest, enabling an individual to carry out daily tasks with vigor and alertness.