A survey across generations of workers gathered data on engagement at work. The results for a sample of​ 1,000 workers are in the accompanying contingency table. At the 0.10level of​ significance, is there evidence of a significant relationship between generation and level of engagement in the​ workplace?   Contingency Table   GENERATION   LEVEL OF ENGAGEMENT   Millennials   Gen Xers   Baby Boomers   Traditionalists  Total   Engaged   96     110     94     12   312     Not Engaged   199     176     130     10   515     Actively Disengaged   53     59     54     7   173     Total       Question content area bottom Part 1 What are the null and alternative hypotheses to​ test?   H0​: No relationship exists between generation and level of engagement.   H1​: A relationship exists between generation and level of engagement.   Part 2 Calculate the test statistic.   χ2STAT=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
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A survey across generations of workers gathered data on engagement at work. The results for a sample of​ 1,000 workers are in the accompanying contingency table. At the 0.10level of​ significance, is there evidence of a significant relationship between generation and level of engagement in the​ workplace?
 
Contingency Table
 
GENERATION
 
LEVEL OF ENGAGEMENT 
 Millennials 
 Gen Xers 
 Baby Boomers 
 Traditionalists 
Total
 
Engaged
 
96
 
 
110
 
 
94
 
 
12
 
312
 
 
Not Engaged
 
199
 
 
176
 
 
130
 
 
10
 
515
 
 
Actively Disengaged
 
53
 
 
59
 
 
54
 
 
7
 
173
 
 
Total
 
 
 

Question content area bottom

Part 1
What are the null and alternative hypotheses to​ test?
 
H0​:
No relationship exists between generation and level of engagement.
 
H1​:
A relationship exists between generation and level of engagement.
 
Part 2
Calculate the test statistic.
 
χ2STAT=
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