Which of the following best describes the rejection region in a chi-squared test of independence? A)χ2 χ2α, (r - 2)(c −2) B)χ2 χ2 1−α , (r - 1)(c −1) C)χ2 χ2α, (r - 1)(c −1) D)χ2

Question

Which of the following best describes the rejection region in a chi-squared test of independence?
A)χ2 > χ2α, (r - 2)(c −2)
B)χ2 > χ2 1−α , (r - 1)(c −1)
C)χ2 > χ2α, (r - 1)(c −1)
D)χ2 < χ2α, (r - 1)(c −1)
E)None of these choices are correct.

Quizplus · Accepted Answer

The rejection region in a chi-squared test of independence is determined by comparing the calculated chi-squared value to the critical value taken from the chi-squared distribution table. The degrees of freedom for the test are given by (r - 1)(c - 1), where r and c are the number of rows and columns in the contingency table, respectively. The appropriate critical value to use is determined by the level of significance, α, which is typically set at 0.05 or 0.01. The rejection region is the area in the upper tail of the chi-squared distribution with the appropriate degrees of freedom, such that the calculated chi-squared value exceeds the critical value. Therefore, choice C, χ2 > χ2α, (r - 1)(c −1), is the correct answer.

Which of the Following Best Describes the Rejection Region in a Chi-Squared