Suppose a chi-square statistic testing for a relationship between two variables was found to be 1.746, with p-value 0.19.What happens to the chi-square statistic and the resulting p-value if you triple the sample size?
A)The chi-square statistic triples and so does the p-value.
B)The chi-square statistic triples resulting in a smaller p-value.
C)The chi-square statistic goes up by a factor of 3 squared, and the p-value changes accordingly.
D)None of the above.

Question

Quizplus · Accepted Answer

Tripling the sample size generally increases the chi-square statistic because the expected frequencies in the contingency table increase, leading to a larger chi-square value if the observed frequencies remain proportionally the same. This typically results in a smaller p-value, indicating a stronger evidence against the null hypothesis.

Suppose a Chi-Square Statistic Testing for a Relationship Between Two