The degrees of freedom for a chi-square test is 5 which means option D is the correct choice.
A chi-squared test (also chi-square or X^2 test) is a statistical hypothesis test used in the analysis of contingency tables when the sample sizes are large. In simpler terms, this test is primarily used to examine whether two categorical variables (two dimensions of the contingency table) are independent in influencing the test statistic (values within the table).
The degrees of freedom for a chi-square goodness-of-fit test = k -1 = 6-1 = 5
(Where k= number of categories)
Thus the degrees of freedom for a chi-square goodness-of-fit test when there are 6 categories and a sample of size 1200 is 5.
Thus, option D is the correct choice.
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