You want O determine whether the reasons given by workers for continuing their education s related to job type. In the study, you randomly collect the data shown in the contingency table. At x=0.05, can you conclude that the reason and type of worker are dependent? Complete parts (a) through (d).

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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
x = 0.05, can you conclude that the reason and type of worker are dependent? Complete parts (a) through (d).
(a) Identify the claim and state the null and alternative hypotheses.
Ho: Reasons are
the type of worker.
Ha: : Reasons are
the type of worker.
The
is the claim.
(b) Determine the degrees of freedom, find the critical value, and identify the rejection region.
What are the degrees of freedom?
d.f. =
Find the critical value.
x² =
(Round to three decimal places as needed.)
Reason
Type of worker Professional Personal Both
Technical
36
34 33
Other
40
23
37
Transcribed Image Text: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 x = 0.05, can you conclude that the reason and type of worker are dependent? Complete parts (a) through (d). (a) Identify the claim and state the null and alternative hypotheses. Ho: Reasons are the type of worker. Ha: : Reasons are the type of worker. The is the claim. (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. What are the degrees of freedom? d.f. = Find the critical value. x² = (Round to three decimal places as needed.) Reason Type of worker Professional Personal Both Technical 36 34 33 Other 40 23 37
Choose the correct rejection region below.
OA, xả xổ
OB. x² >x²
c. x²zx²
OD. x² ≤ x²
(c) Calculate the test statistic. If convenient, use technology.
x² =
=
(Round to three decimal places as needed.)
(d) Decide to reject or fail to reject the null hypothesis. Can you conclude that the reason and type of worker are dependent? Choose the correct conclusion below.
A. Fail to reject the null hypothesis. There is not enough evidence to conclude that reasons are dependent on the
type of worker.
C. Fail to reject the null hypothesis. There is enough evidence to conclude that reasons are dependent on the type
of worker.
OB. Reject the null hypothesis. There is not enough evidence to conclude that reasons are dependent on the type of
worker.
O D. Reject the null hypothesis. There is enough evidence to conclude that reasons are dependent on the type of
worker.
Transcribed Image Text:Choose the correct rejection region below. OA, xả xổ OB. x² >x² c. x²zx² OD. x² ≤ x² (c) Calculate the test statistic. If convenient, use technology. x² = = (Round to three decimal places as needed.) (d) Decide to reject or fail to reject the null hypothesis. Can you conclude that the reason and type of worker are dependent? Choose the correct conclusion below. A. Fail to reject the null hypothesis. There is not enough evidence to conclude that reasons are dependent on the type of worker. C. Fail to reject the null hypothesis. There is enough evidence to conclude that reasons are dependent on the type of worker. OB. Reject the null hypothesis. There is not enough evidence to conclude that reasons are dependent on the type of worker. O D. Reject the null hypothesis. There is enough evidence to conclude that reasons are dependent on the type of worker.
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