A variable contains five categories. It is expected that data are uniformly distributed across these five categories. To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, and 24. Using $\alpha$=.01, the degrees of freedom for this test are ___.
A) 5
B) 4
C) 3
D) 2
E) 1

Question

Quizplus · Accepted Answer

The degrees of freedom for a chi-square goodness-of-fit test is k-1, where k is the number of categories. In this case, there are 5 categories, so the degrees of freedom is 5-1 = 4.

A Variable Contains Five Categories α\alphaα =01, the Degrees of Freedom for This Test Are ___

A Variable Contains Five Categories $\alpha$ =01, the Degrees of Freedom for This Test Are ___