SCENARIO 12-1
a Corporation Randomly Selects 150 Salespeople and Finds $\pi$

question 78

Multiple Choice

SCENARIO 12-1
A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self- improvement course would like such a course.The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course.The groups are assumed to be independent random samples.Let $\pi$ ₁ and $\pi$ ₂ represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study,respectively.
-Referring to Scenario 12-1,the company tests to determine at the 0.05 level whether the population proportion has changed from the previous study.Which of the following is most correct?

• A)Reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has changed over the intervening 10 years.
• B)Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has not changed over the intervening 10 years.
• C)Reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has increased over the intervening 10 years.
• D)Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has increased over the intervening 10 years.

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Definitions:

Highest Potential

The maximum level of achievement or performance that an individual is capable of reaching with their skills and abilities.

Erikson

Refers to Erik Erikson, a developmental psychologist known for his theory on the psychosocial development of humans, outlining eight stages from infancy to adulthood.

Generativity

Providing guidance to one’s children or the next generation, or contributing to the well-being of the next generation through career or volunteer work.

Integrity

The quality of being honest and having strong moral principles.