Instruction 15-1 A Large Organization Randomly Selects 150 Employees and Finds That

question 12

Multiple Choice

Instruction 15-1
A large organization randomly selects 150 employees and finds that 66% who have never taken a professional-development course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 employees wanted a professional-development course. The groups are assumed to be independent random samples. Let π₁ and π₂ represent the true proportion of workers who would like to attend a professional-development course in the recent study and the past study, respectively.
-Referring to Instruction 15-1,the organization 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) Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a professional-development course has increased over the intervening 10 years.
• B) Reject the null hypothesis and conclude that the proportion of employees who are interested in a professional-development course has changed over the intervening 10 years.
• C) Reject the null hypothesis and conclude that the proportion of employees who are interested in a professional-development 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 professional-development course has not changed over the intervening 10 years.