Answer:
a.when the sample proportions are much different than the hypothesized population proportions
Step-by-step explanation:
A chi-square test for goodness of fit is used to check the sample data were distributed according to claim or not.
If the chi-square test produces a large value of chi-square statistic then there is not a good fit between sample data and the null hypothesis. So, the sample proportions are much different than the hypothesized population proportions. Hence,Option (a) is correct.
If the goodness of fit produces a large value for chi-square then the sample means must not be close to the population mean. So, option (b) is incorrect.