Which of the following statement is FALSE about the Chi-square test?a. Chi-square test assumes one non-random sample is drawn from an independent population.b. Chi-square test is used to compare observed frequencies in several categories corresponding with expected frequencies.c. If more than 20% of the expected frequencies are less than 5, the Chi-square test is not recommended.d. The data in a contingency table must be in the form of counts for the Chi-square to be valid.

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Chi square test is a type of non parametric hypothesis testing method. Which is used in the following cases, Case 1 : Chi square χ2 good ness of fit test used to determine difference of proportion in each category differ from the expected proportion or not. Case 2 : Chi square association test is useful to determine whether there is association between two categorical variables or not.Option (A) - False, Chi-square test assumes one non-random sample is drawn from an independent population.Because, one of the most important assumption of chi square test is Randomization. Which means all the samples in a data set should be drawn randomly and independently from a large population. Hence, Chi-square test cannot assume that one non-random sample is drawn from an independent population.Hence, Option (A) is False Reason for wrong answers : Option (B) - TrueSince, Chi-square test is used to compare observed frequencies in several categories corresponding with expected frequencies. For this comparison, we should use Chi square χ2 good ness of fit test.Option (C) - True The important assumption of chi square test is that, at least 80% of the expected frequencies should be more than 5 otherwise, chi square test cannot be used.  In other words, not more than 20% of the expected frequencies are less than 5. otherwise, chi square test cannot be used. Option (D) - True  Since, the data in a contingency table must be in the form of counts (or) frequencies for the Chi-square to be valid.

Which of the following statement is FALSE about

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