Question

In a Chi-square test, as the value of the Λ2 increases, the likelihood of rejecting the null hypothesis

________.
A) is doubled
B) decreases
C) increases by a factor of 10
D) increases
E) stays the same

Answer 1

In a Chi-square test, a higher Chi-square value signifies a greater mismatch between observed and expected values, thus increasing the probability of rejecting the null hypothesis.

Step-by-step explanation:

In a Chi-square test, as the value of the Χ2 increases, the likelihood of rejecting the null hypothesis increases. This is because a higher Chi-square value indicates a greater discrepancy between the observed values and the expected values under the null hypothesis. As this discrepancy becomes larger, the evidence against the null hypothesis becomes stronger, leading to a higher probability of rejecting it in favor of the alternative hypothesis assuming a constant significance level.