Instruction 15-5
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 15-5,what is the value of the test statistic to use in evaluating the alternative hypothesis that there is a difference in the two population proportions using α = 0.10?
A)1.194
B)0.274
C)4.335
D)2.706

Question

Quizplus · Accepted Answer

The test statistic for comparing two proportions is calculated using the formula for the difference in proportions. Here, the difference in sample proportions is 0.66 - 0.60 = 0.06. The standard error is calculated using the pooled proportion and sample sizes. The test statistic is approximately 1.194.

Instruction 15-5 A Corporation Randomly Selects 150 Salespeople and Finds That 66