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Employment Plan Company Private Public Add Employees No Change Lay Off Employees 16 Conduct a test of independence to determine if the employment plan for the next 12 months is independent of the type of company. State the null and alternative hypotheses. O Ho: Employment plan is not independent of the type of company. H₂: Employment plan is independent of the type of company. 37 19 32 34 42 O Ho: Employment plan is independent of the type of company. H₂: Employment plan is not independent of the type of company. O Ho: Employment plan is not mutually exclusive from the type of company. H: Employment plan is mutually exclusive from the type of company. O Ho: Employment plan is mutually exclusive from the type of company. H₂: Employment plan is not mutually exclusive from the type of company. Find the value of the test statistic. (Round your answer to three decimal places.) Find the value (Round your answer to four decimal places)

Employment Plan Company Private Public Add Employees No Change Lay Off Employees 16 Conduct a test of independence to determine if the employment plan for the next 12 months is independent of the type of company. State the null and alternative hypotheses. O Ho: Employment plan is not independent of the type of company. H₂: Employment plan is independent of the type of company. 37 19 32 34 42 O Ho: Employment plan is independent of the type of company. H₂: Employment plan is not independent of the type of company. O Ho: Employment plan is not mutually exclusive from the type of company. H: Employment plan is mutually exclusive from the type of company. O Ho: Employment plan is mutually exclusive from the type of company. H₂: Employment plan is not mutually exclusive from the type of company. Find the value of the test statistic. (Round your answer to three decimal places.) Find the value (Round your answer to four decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 180 companies are summarized as follows. Employment Plan Add Employees No Change Lay Off Employees Company Private Public 37 19 16 32 34 42 (a) Conduct a test of independence to determine if the employment plan for the next 12 months is independent of the type of company. State the null and alternative hypotheses. O Ho: Employment plan is not independent of the type of company. H₂: Employment plan is independent of the type of company. O Ho: Employment plan is independent of the type of company. H₂: Employment plan is not independent of the type of company. O Ho: Employment plan is not mutually exclusive from the type of company. H₂: : Employment plan is mutually exclusive from the type of company. O Ho: Employment plan is mutually exclusive from the type of company. H₂: Employment plan is not mutually exclusive from the type of company. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = At a 0.05 level of significance what is your conclusion?
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 180 companies are summarized as follows. Employment Plan Add Employees No Change Lay Off Employees Company Private Public 37 19 16 32 34 42 (a) Conduct a test of independence to determine if the employment plan for the next 12 months is independent of the type of company. State the null and alternative hypotheses. O Ho: Employment plan is not independent of the type of company. H₂: Employment plan is independent of the type of company. O Ho: Employment plan is independent of the type of company. H₂: Employment plan is not independent of the type of company. O Ho: Employment plan is not mutually exclusive from the type of company. H₂: : Employment plan is mutually exclusive from the type of company. O Ho: Employment plan is mutually exclusive from the type of company. H₂: Employment plan is not mutually exclusive from the type of company. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = At a 0.05 level of significance what is your conclusion?
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