SCENARIO 10-10
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 10-10,what is/are the critical value(s)when performing a Z test on whether population proportions are different if ? = 0.05?
A)$\pm$ 1.645
B)$\pm$ 1.96
C)$\pm$1.96
D)$\pm$ 2.08

Question

SCENARIO 10-10
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 10-10,what is/are the critical value(s)when performing a Z test on whether population proportions are different if ? = 0.05?
A)$\pm$ 1.645
B)$\pm$ 1.96
C)$\pm$1.96
D)$\pm$ 2.08

Quizplus · Accepted Answer

When performing a Z test on whether population proportions are different, the critical value is calculated using the formula z = (p1 - p2)/sqrt(p_hat*(1-p_hat)*(1/n1 + 1/n2)), where p1 and p2 are the sample proportions, p_hat is the pooled proportion, n1 and n2 are the sample sizes, and alpha = 0.05. Using this formula, the critical value is calculated to be 1.96. Therefore, the best choice is B.

SCENARIO 10-10 a Corporation Randomly Selects 150 Salespeople and Finds π\piπ

SCENARIO 10-10
a Corporation Randomly Selects 150 Salespeople and Finds $\pi$