​From the steps listed below, some are used to evaluate the goodness of fit using the chi-square test.
A. The mean, variance and standard deviation are calculated
B. Variance calculated using $$\frac{\sum (x_1 - \bar{x})^2}{n - 1}$$

D. The degree of freedom is calculated as n-1, where n is the number of ways in which the expected classes are free to vary
E. The probability value is obtained

Which one of the following options provides the correct sequence of steps in this statistical analysis?

C. Test statistic calculated using  $$\frac{\sum (\text{observed} - \text{expected})^2}{\text{expected}}$$

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Correct option is B

Explanation-​

Steps in Chi-square Test (Goodness of Fit):
1 -  C. Compute the test statistic using:

                                                  $$\chi^2 = \sum \frac{(O - E)^2}{E}$$

​where O = observed, E = expected
2 -  D. Calculate the degrees of freedom:

                                                   $$df = n - 1$$

3 -  E. Obtain the probability value (p-value) using the test statistic and degrees of freedom.

Other options:​
A and B (mean, variance, std. dev.) are used in parametric tests (like t-tests), not in chi-square, which is a non-parametric test.

Therefore, the correct sequence is:  C → D → E
Which matches: Option b​