A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday).It has collected the following data based on a random sample of 100 days. Based on this information how many degrees for freedom are involved in this goodness of fit test?

Question

A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday).It has collected the following data based on a random sample of 100 days.  Based on this information how many degrees for freedom are involved in this goodness of fit test?

Quizplus · Accepted Answer

Degrees of freedom for a goodness of fit test is (number of categories - 1). 
In this case, the only category is weekday (Monday to Friday), so there are 5 categories. Therefore, the degrees of freedom are 5-1=4.

A Walk-In Medical Clinic Believes That Arrivals Are Uniformly Distributed