A distributor of personal computers has five locations in a city. In the year's first quarter, the sales in units were: For a goodness-of-fit test that sales were the same for all locations, what is the critical value at the 0.01 level of risk?
A)7.779
B)15.033
C)13.277
D)5.412

Question

A distributor of personal computers has five locations in a city. In the year's first quarter, the sales in units were:  For a goodness-of-fit test that sales were the same for all locations, what is the critical value at the 0.01 level of risk?
A)7.779 
B)15.033 
C)13.277 
D)5.412

Quizplus · Accepted Answer

Since there are five locations and we are testing for equality of sales among all of them, we have four degrees of freedom (df=5-1). At the 0.01 level of risk, the critical value for a chi-square goodness-of-fit test with four degrees of freedom is 13.277, which represents the cutoff point for rejecting the null hypothesis of equal sales across all locations. Therefore, the best choice is (C).

A Distributor of Personal Computers Has Five Locations in a City