For a chi-square distributed random variable with 12 degrees of freedom and a significance level of 0.025 the chi-square value from the table is 23.337.Which of the following computed values of chi-square will lead to acceptance of the null hypothesis?
A) 42.22
B) 28.43
C) 31.34
D) 26.34
E) 18.26

Question

Quizplus · Accepted Answer

Since the significance level is set at 0.025 and the degrees of freedom is 12, the critical chi-square value is 23.337. Any computed value of chi-square less than this critical value will result in acceptance of the null hypothesis. Among the given options, only E has a value less than 23.337. Therefore, E is the best choice for acceptance of the null hypothesis.

For a Chi-Square Distributed Random Variable with 12 Degrees of Freedom