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Multiple Choice
Use a table to find or estimate such that: (Area to the right)
A
27.99
B
29.71
C
76.15
D
79.49
Verified step by step guidance
1
Identify the given information: the degrees of freedom (df) is 50, and the probability that the chi-square statistic exceeds the value \( \chi^2 \) is 0.010, i.e., \( P(X^2 > \chi^2) = 0.010 \).
Understand that this problem asks for the chi-square critical value corresponding to the upper 1% tail (right tail) of the chi-square distribution with 50 degrees of freedom.
Use a chi-square distribution table or statistical software to find the value of \( \chi^2 \) such that the area to the right of this value under the chi-square curve with 50 degrees of freedom is 0.010.
Locate the row in the chi-square table for df = 50, then find the column corresponding to the upper tail probability of 0.010 (or 1%). The intersection gives the critical value \( \chi^2 \).
Verify that the critical value you find matches one of the provided options, which represents the chi-square value with 1% area to the right for 50 degrees of freedom.