When performing a x² test for independence in a contingency table with r rows and c columns, determine the upper-tail critical value of the test statistic in each of the following circumstances. a.x=0.05, r= 5, c=6 d. a 0.01, r= 6, c=3 b. α=0.01, r=4, c=5 e. α=0.01, r= 5, c=4 c. α=0.01, r=4, c=3 CHI a. Determine the upper-tail critical value of the test statistic using the values given in the problem statement for part (a). The critical value is. (Type an integer or a decimal. Round to three decimal places as needed.)

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**Chi-Square Test for Independence: Critical Value Determination**

When performing a \( \chi^2 \) test for independence in a contingency table with \( r \) rows and \( c \) columns, determine the upper-tail critical value of the test statistic in each of the following circumstances:

a. \( \alpha = 0.05 \), \( r = 5 \), \( c = 6 \)

b. \( \alpha = 0.01 \), \( r = 4 \), \( c = 5 \)

c. \( \alpha = 0.01 \), \( r = 4 \), \( c = 3 \)

d. \( \alpha = 0.01 \), \( r = 6 \), \( c = 3 \)

e. \( \alpha = 0.01 \), \( r = 5 \), \( c = 4 \)

---

a. Determine the upper-tail critical value of the test statistic using the values given in the problem statement for part (a).

The critical value is [    ].

(Type an integer or a decimal. Round to three decimal places as needed.)
Transcribed Image Text:**Chi-Square Test for Independence: Critical Value Determination** When performing a \( \chi^2 \) test for independence in a contingency table with \( r \) rows and \( c \) columns, determine the upper-tail critical value of the test statistic in each of the following circumstances: a. \( \alpha = 0.05 \), \( r = 5 \), \( c = 6 \) b. \( \alpha = 0.01 \), \( r = 4 \), \( c = 5 \) c. \( \alpha = 0.01 \), \( r = 4 \), \( c = 3 \) d. \( \alpha = 0.01 \), \( r = 6 \), \( c = 3 \) e. \( \alpha = 0.01 \), \( r = 5 \), \( c = 4 \) --- a. Determine the upper-tail critical value of the test statistic using the values given in the problem statement for part (a). The critical value is [ ]. (Type an integer or a decimal. Round to three decimal places as needed.)
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