Under what circumstances will the chi-square test for goodness of fit produce a large value for chi-square? Question options: a. when the sample proportions are much different than the hypothesized population proportions b. when the sample mean is close to the population mean

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Mathematics

Miles Lutz

1 September, 08:52

Under what circumstances will the chi-square test for goodness of fit produce a large value for chi-square? Question options: a. when the sample proportions are much different than the hypothesized population proportions b. when the sample mean is close to the population mean

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Answers (1)

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Alicia Dean · Answer 1

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.