Consider the following hypothesis problem. n = 30
H₀: σ² = 500
S² = 625
H_a: σ² ≠ 500

The null hypothesis is to be tested at the 5% level of significance.The critical value(s) from the chi-square distribution table is(are)

Question

Quizplus · Accepted Answer

Since we are testing the hypothesis about population variance, we need to use the chi-square distribution. The degrees of freedom for this problem is n-1 = 29. Additionally, since it is a two-tailed test, we need to split the 5% level of significance equally into two tails: 2.5% in each tail. Using a chi-square distribution table with 29 degrees of freedom, the critical values for the 2.5% level of significance in each tail are 16.047 and 45.722. Hence, the correct answer is C.

​Consider the Following Hypothesis Problem. N = 30

Consider the Following Hypothesis Problem. N = 30