You want to determine whether the reasons given by workers for continuing their education is related to job type. In the​ study, you randomly collect the data shown in the contingency table. At α=0.01​, can you conclude that the reason and type of worker are​ dependent? Complete parts​ (a) through​ (d).     Reason   Type of worker Professional Personal Both Technical 36 39 32 Other 47 21 32       Question content area bottom Part 1 ​(a) Identify the claim and state the null and alternative hypotheses.   H0​: Reasons are ▼   independent of dependent on the type of worker. Ha​: Reasons are ▼   independent of dependent on the type of worker.

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You want to determine whether the reasons given by workers for continuing their education is related to job type. In the​ study, you randomly collect the data shown in the contingency table. At
α=0.01​,
can you conclude that the reason and type of worker are​ dependent? Complete parts​ (a) through​ (d).
 
 
Reason
 
Type of worker
Professional
Personal
Both
Technical
36
39
32
Other
47
21
32
 
 
 

Question content area bottom

Part 1
​(a) Identify the claim and state the null and alternative hypotheses.
 
H0​:
Reasons are
 
independent of
dependent on
the type of worker.
Ha​:
Reasons are
 
independent of
dependent on
the type of worker.
 
The
 
alternative hypothesis
null hypothesis
is the claim.
 
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Determine the degrees of​ freedom, find the critical​ value, and identify the rejection region.

 

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