Which of the following best describes the rejection region in a chi-squared test of independence? A) χ² χ²_{α, (r - 2)(c}₋₂₎ B) χ² χ²₁₋_α_{, (r - 1)(c −1)} C) χ² χ²_{α, (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 > χ²_{α, (r - 2)(c}₋₂₎ B) χ² > χ²₁₋_α_{, (r - 1)(c −1)} C) χ² > χ²_{α, (r - 1)(c}₋₁₎ D) χ² < χ²_{α, (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 finding the critical value of chi-squared at a certain level of significance (α) and comparing it to the calculated chi-squared value from the data. The rejection region is the set of values for the calculated chi-squared that are greater than the critical value. The formula for the critical value of chi-squared in a test of independence is χ²_{α, (r - 1)(c}₋₁₎. This formula is shown in choice C. Therefore, C is the correct choice for the formula that describes the rejection region in a chi-squared test of independence.

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