Which of the following is an assumption required by the chi-square test?a. small samplesb. the frequencies in each cell are relatively similarc. the sample was randomly selectedd. the variables are normally distributed

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Chi-Square test: If Oi(i=1,2,…,n) is a set of observed or experimental frequencies and Ei(i=1,2,…,n) is the corresponding set of expected or theoretical (or hypothetical) frequencies, then the Chi-square test is given byχ2=∑[(Oi−Ei)2Ei]follows Chi-square distribution with (n-1) degrees of freedom.Since, chi-square test is used to test whether the distributions of categorical variables differ from each or not.The assumptions of Chi-square test are as follows below:(i) The data in the cells should be known as frequencies and the frequencies in the each cell are to be relatively similar to each other.(ii) The categories (or levels) of the variables are mutually exclusive.(iii) At least 5 expected frequencies must be there in each group.So, from the above assumptions, option b is correct.Therefore, the frequencies in the each cell are to be relatively similar is an assumption required by the chi-square test.

Which of the following is an assumption required

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