Compare the chi-squared test for goodness of fit to the chi-squared test for independence. Be sure...

Compare the chi-squared test for goodness of fit to the chi-squared test for independence. Be sure to mention number of samples and the number of levels of categories for your comparison. Also provide the alternative hypothesis for both.

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Solution:-

Chi squared test for goodness of fit.

The chi-square goodness of fit test is applied when you have one categorical variable from a single population. It is used to determine whether sample data are consistent with a hypothesized distribution.

Total number of categorical variable = k

D.F = k - 1

Null hypothesis: All the observed outcomes follows the given distribution.

Alternative hypothesis: At least one of the proportions in the null hypothesis is false.

Chi squared test for independence.

The chi-square test for independence is applied when you have two categorical variables from a single population. It is used to determine whether there is a significant association between the two variables.

D.F = (r - 1) * (c - 1)

r = number of levels for one categorical variable

c = number of levels for second categorical variable

H₀: Two variables are independent.
H_a: Two variables are not independent.

orchestra answered 1 year ago

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