Under what circumstances will the chi-square test for goodness of fit produce a large value for the chi-square?
A)When the sample proportions match the hypothesized population proportions
B)When the sample proportions are much different than the hypothesized population proportions
C)When the sample mean is close to the population mean
D)When there is a large difference between the sample mean and the population mean

Question

Quizplus · Accepted Answer

The chi-square test for goodness of fit measures the difference between the observed and expected frequencies. If the sample proportions are much different than the hypothesized population proportions, this will result in a large difference between the observed and expected frequencies, leading to a large chi-square value. Therefore, option B is the correct answer.

Under What Circumstances Will the Chi-Square Test for Goodness of Fit