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 a = 0.01, can you conclude that the reason and type of worker are dependent? Complete parts (a) through (d). Reason Type of worker ProfessionalPersonalBoth Technical Other 42 35 21 34 37 41 (a) Identify the claim and state the null and alternative hypotheses. Họ: Reasons are (1)- the type of worker. H, Reasons are (2). the type of worker. The (3) is the claim. (b) Determine the degrees of freedom, find the critical value, and identify the rejection region. What are the degrees of freedom? df. = Find the critical value. (Round to three decimal places as needed.) Choose the correct rejection region below. O A.

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4. 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 a = 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
Other
37
42
35
41
21
34
(a) Identify the claim and state the null and alternative hypotheses.
Hn: Reasons are (1)
the type of worker,
H,: Reasons are (2)
the type of worker.
The (3)
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.
x3 =
(Round to three decimal places as needed.)
Choose the correct rejection region below.
O A. <x%
O B. sx
O C. >x%
O D. 2x0
(c) Calculate the test statistic. If convenient, use technology.
x =
(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.
O A. Reject the null hypothesis. There is enough evidence to conclude that reasons are dependent on the type of worker.
OC. Reject the null hypothesis. There is not enough evidence to conclude that reasons are dependent on the type of worker.
O B. Fail to reject the null hypothesis. There is enough evidence to conclude that reasons are dependent on the type of worker.
O D. Fail to reject the null hypothesis. There is not enough evidence to conclude that reasons are dependent on the type of worker.
(1) O independent of
(2) O dependent on
O independent of
(3) O null hypothesis
O alternative hypothesis
O dependent on
Transcribed Image Text:4. 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 a = 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 Other 37 42 35 41 21 34 (a) Identify the claim and state the null and alternative hypotheses. Hn: Reasons are (1) the type of worker, H,: Reasons are (2) the type of worker. The (3) 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. x3 = (Round to three decimal places as needed.) Choose the correct rejection region below. O A. <x% O B. sx O C. >x% O D. 2x0 (c) Calculate the test statistic. If convenient, use technology. x = (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. O A. Reject the null hypothesis. There is enough evidence to conclude that reasons are dependent on the type of worker. OC. Reject the null hypothesis. There is not enough evidence to conclude that reasons are dependent on the type of worker. O B. Fail to reject the null hypothesis. There is enough evidence to conclude that reasons are dependent on the type of worker. O D. Fail to reject the null hypothesis. There is not enough evidence to conclude that reasons are dependent on the type of worker. (1) O independent of (2) O dependent on O independent of (3) O null hypothesis O alternative hypothesis O dependent on
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