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 π 1 and π 2 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,what is the critical value when performing a chi-square test on whether population proportions are different if α = 0.05?
A) ± 1.645
B) ± 1.96
C) 2.706
D) 3.842

Question

Quizplus · Accepted Answer

For a chi-square test comparing two proportions with a significance level of α = 0.05, the critical value is 3.842. This is because the chi-square distribution with one degree of freedom (which is used in this case since we are comparing two proportions) has a critical value of 3.842 at the 0.05 significance level.

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