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

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

Quizplus · Accepted Answer

The degrees of freedom for a chi-square test for goodness of fit are calculated as the number of categories minus one. Since there are five categories, the degrees of freedom are 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 _______