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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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