Which of the following is true?
A)Assume that a Chi- square test was conducted to test the goodness of fit to a 9:3:3:1 ratio and a Chi- square value of 10.62 was obtained.The null hypothesis should be accepted.
B)With the test of a 3:1 ratio,there are three degrees of freedom.
C)The large the Chi- square value,the more likely your results are real.
D)Assume that a Chi- square test provided a probability value of 0.02.The null hypothesis should be accepted.
E)Assume that a Chi- square test was conducted to test the goodness of fit to a 3:1 ratio and that a Chi- square value of 2.62 was obtained.The null hypothesis should be accepted.

Question

Quizplus · Accepted Answer

A Chi-square value of 2.62 with one degree of freedom (for a 3:1 ratio) would result in a probability value greater than 0.05, indicating that the null hypothesis (observed data fits expected ratio) should be accepted. Option A is incorrect because a Chi-square value of 10.62 would result in a very small probability value, indicating rejection of the null hypothesis. Option B is incorrect because with a 3:1 ratio, there would only be one degree of freedom. Option C is incorrect because a larger Chi-square value may indicate a stronger deviation from expected values, but it does not necessarily mean that the results are more likely to be real. Option D is incorrect because a probability value of 0.02 would indicate rejection of the null hypothesis at the 0.05 level of significance.

Which of the Following Is True