Consider the following contingency table of observed frequencies:
|
Column Variable
|
|
Row Variable
|
C1
|
C2
|
C3
|
|
R1
|
3
|
12
|
5
|
|
R2
|
18
|
17
|
15
|
|
R3
|
10
|
20
|
0
|
Part A: Identify the null and alternative hypotheses for a chi-square test of independence based on the information in the table.
Part B: Calculate the expected frequencies for each cell in the contingency table.
Part C: Calculate the chi-square test statistic
Part D : Determine the Chi-square critical value , using alpha =0.01 state your conclusions.
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