Under what circumstances will the chi-square test for goodness of fit produce a large value for a 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

Under what circumstances will the chi-square test for goodness of fit produce a large value for a 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

Quizplus · Accepted Answer

The chi-square test for goodness of fit compares the observed frequencies in a sample to the expected frequencies under a hypothesized distribution. A large value for the chi-square indicates that the observed frequencies are significantly different from the expected frequencies. This means that the sample proportions are much different than the hypothesized population proportions, which suggests that the null hypothesis (that the sample is drawn from the hypothesized population) should be rejected.

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