An important application of the chi-square distribution is a. making inferences about a single population variance. b. testing for goodness of fit. c. testing for the independence of two categorical variables. d. all of these alternatives are correct.

D. All of these alternatives are correct.

Explanation:

Chi square distribution is the cumulative probablity distribution. It provide probablity of every possible value. Chi square distribution is depend on degree of freedom and degree of freedom is calculated by subtracting 1 from the number of category from the data collected. It is used to check goodness of fit of an observed data, the independence of two categorical variables, it is also used in hypothesis testing  and confidence interval for population variance.

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