What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?
A)There is a good fit between the sample data and the null hypothesis.
B)There is a large discrepancy between the sample data and the null hypothesis.
C)All of the expected frequencies must also be close to zero.
D)The researcher made a mistake because chi-square can never be close to zero.

Question

What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?​
A)There is a good fit between the sample data and the null hypothesis.​
B)​There is a large discrepancy between the sample data and the null hypothesis.
C)​All of the expected frequencies must also be close to zero.
D)​The researcher made a mistake because chi-square can never be close to zero.

Quizplus · Accepted Answer

A chi-square statistic near zero indicates that there is a good fit between the sample data and the null hypothesis, meaning that the observed frequencies are close to the expected frequencies. This suggests that any differences between the observed and expected frequencies are likely due to chance, rather than a significant deviation from the null hypothesis.

What Conclusion Is Appropriate If a Chi-Square Test Produces a Chi-Square