A variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this, a sample of observed data is gathered on this variable resulting in frequencies of 22, 35, 32, and 21.Using $\alpha$ = .05, the observed chi-square value is ___.
A)5.418
B)9.10
C)20.27
D)4.51
E)7.86

Question

Quizplus · Accepted Answer

The expected frequency for each category is 25 (100/4). The chi-square value is calculated as:$\chi^2$ = $\sum$ (O - E)^2 / E= (22 - 25)^2 / 25 + (35 - 25)^2 / 25 + (32 - 25)^2 / 25 + (21 - 25)^2 / 25= 5.418

A Variable Contains Four Categories α\alphaα = 05, the Observed Chi-Square Value Is ___

A Variable Contains Four Categories $\alpha$ = 05, the Observed Chi-Square Value Is ___