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 testing whether the current population proportion is higher than before if $\alpha$ = 0.05?
A)$\pm$ 1.645
B)+ 1.645
C)$\pm$ 1.96
D)+ 1.96

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 testing whether the current population proportion is higher than before if $\alpha$ = 0.05?
A)$\pm$ 1.645
B)+ 1.645
C)$\pm$ 1.96
D)+ 1.96

Quizplus · Accepted Answer

For a one-tailed test with an alpha level of 0.05, the critical value from the Z-distribution is +1.645. This is used when testing if the current proportion is significantly higher than the past proportion.

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

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