Question

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 ?=0.10, can you conclude that the reason and type of worker are dependent? Complete parts (a) through (d) Reason of worker Professional Personal Both echnical ther 35 40 43 37 22 31 (a) Identify the claim and state the null and alternative hypotheses H Reasons are H Reasons are The (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 V the type of worker V the type of worker ?| is the claim. ?=? Round to three decimal places as needed.)

Answer 1

a)Ho:reasons are independent to the type of gender.

Ha: reasons are dependent to the type of gender.

b)

df =(row-1)*(column-1)=(2-1)*(3-1)=2

crtiical value =4.605

option C is correct

c)

applying chi square test:

OBS	professional	personal	both	Total
technical	35	43	37	115
other	40	22	31	93
Total	75	65	68	208
Ei=?row*?column/?total	professional	personal	both	Total
technical	41.466	35.938	37.596	115
other	33.534	29.063	30.404	93
Total	75	65	68	208
=(Oi-Ei)2/Ei	professional	personal	both	Total
technical	1.008	1.388	0.009	2.406
other	1.247	1.716	0.012	2.975
Total	2.255	3.104	0.021	5.381

test statistic =5.381

d) option B is correct