A chi-square goodness of fit test is to be performed to see if data fit the Poisson distribution.There are 8 categories, and lambda must be estimated.Alpha is chosen to be 0.10.The critical (table)value of chi-square is _______.
A)10.645
B)12.017
C)3.828
D)16.812
E)17.345

Question

Quizplus · Accepted Answer

For a chi-square goodness of fit test where the Poisson distribution is being tested and lambda (the mean) must be estimated from the data, the degrees of freedom (df) used in finding the critical value from the chi-square distribution table are calculated as the number of categories minus the number of parameters estimated from the data minus 1. Here, there are 8 categories and 1 parameter (lambda) is estimated, so df = 8 - 1 - 1 = 6. For an alpha of 0.10 and 6 degrees of freedom, the critical value from the chi-square distribution table is 10.645.

A Chi-Square Goodness of Fit Test Is to Be Performed