Question 243176: 240 students were asked to taste three types of cola in a random order and were not told their identity. The contingency table below shows the counts of preferred colas classified
by the subject specialism of students.
------------- Cola A ---- Cola B----- Cola C
Mathematics ---13 ------23---------- 44
Economics -----36------ 24-----------10
Statistics--------24------ 8------------ 8
Management ----11------ 28----------- 11
Use These data to investigate the association, if any, between a student's subject specialism and preferred cola-type. Interpret any association which exists, testing at more than one significance level.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 240 students were asked to taste three types of cola in a random order and were not told their identity. The contingency table below shows the counts of preferred colas classified
by the subject specialism of students.
------------- Cola A ---- Cola B----- Cola C
Mathematics ---13 ------23---------- 44
Economics -----36------ 24-----------10
Statistics--------24------ 8------------ 8
Management ----11------ 28----------- 11
Use These data to investigate the association, if any, between a student's subject specialism and preferred cola-type. Interpret any association which exists, testing at more than one significance level.
Ho: The row and column factors are independent
H1: They are dependent
--------------------
I ran a Chi-Sq test and got the following:
test stat: Chi-Sq = 38.7029
p-value: 0.000000080237
---------
Conclusion: Since the p-value is less than 1%,
reject Ho at the 1% significance level. The
row and column factors are dependent.
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Cheers,
Stan H.
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