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The following table contains observed values and expected

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QUESTION:

The following table contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories

(a) Compute the value of the chi-square test statistic.

(b) Test the hypothesis that X and Y are independent at the \(\alpha=0.05\) level of significance.

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QUESTION:

The following table contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories

(a) Compute the value of the chi-square test statistic.

(b) Test the hypothesis that X and Y are independent at the \(\alpha=0.05\) level of significance.

ANSWER:

Step 1 of 4:

We have The following table contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories.

 

X1

X2

X3

Y1

34 (36.26)

43 (44.63)

52 (48.11)

Y2

18 (15.74)

21 (19.37)

17 (20.89)

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