Instruction 10-9
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 π 1 and π 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 Instruction 10-9,what is the estimated standard error of the difference between the two sample proportions?
A)0.500
B)0.629
C)0.055
D)0

Question

Quizplus · Accepted Answer

The estimated standard error of the difference between two sample proportions is calculated using the formula: sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)], where p1 and p2 are the sample proportions and n1 and n2 are the sample sizes. Plugging in the values: sqrt[(0.66(1-0.66)/150) + (0.60(1-0.60)/160)] ≈ 0.055.

Instruction 10-9 A Corporation Randomly Selects 150 Salespeople and Finds That 66