A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self- improvement course would like to do so. The firm did a similar study 10 years ago and found that 70% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π1 and π2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively. The company tests to determine at the 0.01 level whether the population proportion has changed from the previous study. Which of the following is most correct? Reject the null hypothesis and conclude that there is sufficient evidence that the proportion of employees who are interested in a self-improvement course has changed over the past 10 years. Do not reject the null hypothesis and conclude that there is not sufficient evidence that the pro- portion of employees who are interestedin a self-improvement course has changed over the past 10 years. Reject the null hypothesis and conclude that there is sufficient evidence that the proportion of employees who are interested in a self-improvement course has increased over the past 10 years. Do not reject the null hypothesis and conclude that that there is not sufficient evidence that the proportion of employees who are interested in a self-improvement course has increased over the past 10 years.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self- improvement course would like to do so. The firm did a similar study 10 years ago and found that 70% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π1 and π2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively.

The company tests to determine at the 0.01 level whether the population proportion has changed from the previous study. Which of the following is most correct?

		Reject the null hypothesis and conclude that there is sufficient evidence that the proportion of employees who are interested in a self-improvement course has changed over the past 10 years.
		Do not reject the null hypothesis and conclude that there is not sufficient evidence that the pro- portion of employees who are interestedin a self-improvement course has changed over the past 10 years.
		Reject the null hypothesis and conclude that there is sufficient evidence that the proportion of employees who are interested in a self-improvement course has increased over the past 10 years.
		Do not reject the null hypothesis and conclude that that there is not sufficient evidence that the proportion of employees who are interested in a self-improvement course has increased over the past 10 years.

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