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 171 compan

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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 171 companies are summarized as follows.

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 171
companies are summarized as follows.
Company
Employment Plan
Private
Public
Add Employees
36
33
No Change
19
33
Lay Off Employees
13
37
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).
8.62
Use Table 3 of Appendix B to find the p-value.
The p-value is between 0.01 and 0.025 v
At a 0.05 level of significance, what is your conclusion?
Conclude
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 -
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 171 companies are summarized as follows. Company Employment Plan Private Public Add Employees 36 33 No Change 19 33 Lay Off Employees 13 37 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). 8.62 Use Table 3 of Appendix B to find the p-value. The p-value is between 0.01 and 0.025 v At a 0.05 level of significance, what is your conclusion? Conclude 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 - 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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