In: Statistics and Probability
A fictitious city of 1,000,000 residents has three neighborhoods: A, B, and C. You are interested in understanding whether a person’s residential location is related to their occupation. You take a random sample of 400 residents and classify their occupation as white collar (service), blue collar (manufacturing), or green collar (environment). The data are tabulated as follows. Conduct a Chi Sq. test, State your null and alternative hypothesis. Provide your test statistic, critical value (at 0.05 significance), and decision (reject or fail to reject).
A |
B |
C |
Total |
|
White Collar |
76 |
51 |
88 |
215 |
Blue Collar |
21 |
38 |
28 |
87 |
Green Collar |
19 |
18 |
61 |
98 |
Total |
116 |
107 |
177 |
400 |
Hypothesis,
H0 : person’s residential location is not related to their occupation.
H1 : person’s residential location is related to their occupation.
Conclusion:
As null hypothesis is rejected at 5% los, we conclude that the person’s residential location is related to their occupation.
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