A Deloitte employment survey asked a sample of human resource executives how their company planned to change its workforce over the response variable showed three options: The company plans to hire and add to the number of employees, the company plans no change in company plans to lay off and reduce the number of employees. Another categorical variable indicated if the company was private or public. summarized as follows. Company Employment Plan Private Public Add Employees 34 30 No Change 21 34 Lay Off Employees 15 44 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
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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 178 companies are
summarized as follows.
Company
Employment Plan
Private
Public
Add Employees
34
30
No Change
21
34
Lay Off Employees
15
44
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?
V - Select your answer -
the employment plan is not independent of the type of
company.
Cannot conclude
Conclude
ces in the employment plans for private and public companies over the next 12 months.
- Select your answer -
companies are more likely to add employees.
- Select your answer -
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 178 companies are summarized as follows. Company Employment Plan Private Public Add Employees 34 30 No Change 21 34 Lay Off Employees 15 44 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? V - Select your answer - the employment plan is not independent of the type of company. Cannot conclude Conclude ces in the employment plans for private and public companies over the next 12 months. - Select your answer - companies are more likely to add employees. - Select your answer - 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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