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 0.10 level of​ significance, is there evidence of a significant relationship between generation and level of engagement in the​ workplace?                                           Millennials.           Gen Xers.    Baby Boomers.      Traditionalists      Total Engaged                                  97                     111                     93                         14                    315 Not Engaged                           191                    166                   133                         11                      501 Actively Disengaged                 60                      64                     51                           9                      184 Total                                          348                      341                  277                         34                   1000     What are the null and alternative hypotheses to​ test?   H Subscript 0​: ▼   A No relationship exists between ▼   Gen Xers Traditionalists Millennials generation Baby Boomers and ▼   not being engaged. level of engagement. being actively disengaged. being engaged. H Subscript 1​: ▼   A No relationship exists between ▼   Traditionalists Gen Xers generation Millennials Baby Boomers and ▼   level of engagement. not being engaged. being engaged. being actively disengaged. Part 2 Calculate the test statistic.   χ2STAT= enter your response here ​(Round to two decimal places as​ needed.) Part 3 The​ p-value for χ2STAT is enter your response here. ​(Round to three decimal places as​ needed.) Part 4 State the conclusion.   Since the​ p-value is ▼   greater less than the level of​ significance, ▼   do not reject reject the null hypothesis and conclude that there is ▼   a no significant relationship.

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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 0.10 level of​ significance, is there evidence of a significant relationship between generation and level of engagement in the​ workplace?

                                          Millennials.           Gen Xers.    Baby Boomers.      Traditionalists      Total
Engaged                                  97                     111                     93                         14                    315
Not Engaged                           191                    166                   133                         11                      501
Actively Disengaged                 60                      64                     51                           9                      184
Total                                          348                      341                  277                         34                   1000  
 
What are the null and alternative hypotheses to​ test?
 
H Subscript 0​:
 
A
No
relationship exists between
 
Gen Xers
Traditionalists
Millennials
generation
Baby Boomers
and
 
not being engaged.
level of engagement.
being actively disengaged.
being engaged.
H Subscript 1​:
 
A
No
relationship exists between
 
Traditionalists
Gen Xers
generation
Millennials
Baby Boomers
and
 
level of engagement.
not being engaged.
being engaged.
being actively disengaged.
Part 2
Calculate the test statistic.
 
χ2STAT= enter your response here
​(Round to two decimal places as​ needed.)
Part 3
The​ p-value for χ2STAT is
enter your response here.
​(Round to three decimal places as​ needed.)
Part 4
State the conclusion.
 
Since the​ p-value is
 
greater
less
than the level of​ significance,
 
do not reject
reject
the null hypothesis and conclude that there is
 
a
no
significant relationship.
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