37 SLCC students were asked about their job status (NO = not employed; PT = empl
ID: 3266852 • Letter: 3
Question
37 SLCC students were asked about their job status (NO = not employed; PT = employed part-time; FT = employed full time) and their school status (PT = part-time student; FT = full-time student). The responses are below, and they result in the contingency table shown. Perform the correct hypothesis test to determine if there is a correlation between job status and school status.
A. p-value for the hypothesis test
B. Can you conclude (at the 5% significance level) that there is a correlation between job status and school status? (Yes or No)
Job Status
NO
PT
FT
Total
School Status
PT
2
5
10
17
FT
5
8
7
20
Total
7
13
17
37
14
26
34
A. p-value for the hypothesis test
B. Can you conclude (at the 5% significance level) that there is a correlation between job status and school status? (Yes or No)
Job Status
NO
PT
FT
Total
School Status
PT
2
5
10
17
FT
5
8
7
20
Total
7
13
17
37
14
26
34
Explanation / Answer
here applying chi sqaure test of independence on above data:
for above degree of freedom (row-1)*(column-1) =(2-1)*(3-1)=2
A)therefore for above test stat and 2 degree of freedom p value =0.3200
B) No
as p vlaue is signfiicantly higher then 0.05 level there is no a correlation between job status and school status
Observed O No PT FT Total PT 2 5 10 17 FT 5 8 7 20 Total 7 13 17 37 Expected E=rowtotal*column total/grand total No PT FT Total PT 3.216 5.973 7.811 17 FT 3.784 7.027 9.189 20 Total 7 13 17 37 chi square =(O-E)^2/E No PT FT Total PT 0.460 0.1585 0.6136 1.232 FT 0.391 0.135 0.522 1.047 Total 0.851 0.293 1.135 2.279Related Questions
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