A Deloitte employment survey asked a sample of human resource executives how their company planned to change its workforce over the next 12 months. A categorical response variable showed three options: The company plans to hire and add to the number of employees, the company plans no change in the number of employees, or the company plans to lay off and reduce the number of employees. Another categorical variable indicated if the company was private or public. Sample data for 181 companies are summarized as follows. Company Employment Plan Private Public Add Employees 37 31 No Change 20 36 Lay Off Employees 12 45 a. Conduct a test of independence to determine if the employment plan for the next 12 months is independent of the type of company. Compute the value of the x test statistic (to 2 decimals). Use Table 3 of Appendix B to find the p-value. The p-value is - Select your answer At a 0.05 level of significance, what is your conclusion? - Select your answer - v the employment plan is not independent of the type of company. b. Discuss any differences in the employment plans for private and public companies over the next 12 months. Select your answer - v companies are more likely to add employees. - Select your answer - v companies are more likely to lay off employees. % of private companies plan on adding employees. % of public companies plan to lay off employees. (to 1 decimal)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A Deloitte employment survey asked a sample of human resource executives how their company planned to change its workforce over the next 12 months. A categorical response
variable showed three options: The company plans to hire and add to the number of employees, the company plans no change in the number of employees, or the company plans to
lay off and reduce the number of employees. Another categorical variable indicated if the company was private or public. Sample data for 181 companies are summarized as follows.
Company
Employment Plan
Private
Public
Add Employees
37
31
No Change
20
36
Lay Off Employees
12
45
a. Conduct a test of independence to determine if the employment plan for the next 12 months is independent of the type of company.
Compute the value of the x test statistic (to 2 decimals).
Use Table 3 of Appendix B to find the p-value.
The p-value is - Select your answer
At a 0.05 level of significance, what is your conclusion?
|- Select your answer - v the employment plan is not independent of the type of company.
b. Discuss any differences in the employment plans for private and public companies over the next 12 months.
|- Select your answer - v companies are more likely to add employees.
Select your answer - v companies are more likely to lay off employees.
% of private companies
plan on adding employees.
% of public companies plan to lay off employees. (to 1 decimal)
Transcribed Image Text:A Deloitte employment survey asked a sample of human resource executives how their company planned to change its workforce over the next 12 months. A categorical response variable showed three options: The company plans to hire and add to the number of employees, the company plans no change in the number of employees, or the company plans to lay off and reduce the number of employees. Another categorical variable indicated if the company was private or public. Sample data for 181 companies are summarized as follows. Company Employment Plan Private Public Add Employees 37 31 No Change 20 36 Lay Off Employees 12 45 a. Conduct a test of independence to determine if the employment plan for the next 12 months is independent of the type of company. Compute the value of the x test statistic (to 2 decimals). Use Table 3 of Appendix B to find the p-value. The p-value is - Select your answer At a 0.05 level of significance, what is your conclusion? |- Select your answer - v the employment plan is not independent of the type of company. b. Discuss any differences in the employment plans for private and public companies over the next 12 months. |- Select your answer - v companies are more likely to add employees. Select your answer - v companies are more likely to lay off employees. % of private companies plan on adding employees. % of public companies plan to lay off employees. (to 1 decimal)
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