# Thread: Goodness of Fit Test

1. ## Goodness of Fit Test

One year sales volume of four similar 20-oz. beverages on a college campus is shown. The expected frequency for each beverage is 21, found by 84/4. Using the chi square test for uniform distributions, does the sample contradict the assumption that sales are the same for each beverage? Why or why not? The significance level is .05.

Goodness of Fit Test

observed
expected
O - E
(O - E)² / E
% of chisq

18
21.000
-3.000
0.429
50.00

23
21.000
2.000
0.190
22.22

23
21.000
2.000
0.190
22.22

20
21.000
-1.000
0.048
5.56

84
84.000
0.000
0.857
100.00

.86
chi-square

3
df

.8358
p-value

2. Originally Posted by sebchase0625
One year sales volume of four similar 20-oz. beverages on a college campus is shown. The expected frequency for each beverage is 21, found by 84/4. Using the chi square test for uniform distributions, does the sample contradict the assumption that sales are the same for each beverage? Why or why not? The significance level is .05.

Goodness of Fit Test

observed
expected
O - E
(O - E)² / E
% of chisq

18
21.000
-3.000
0.429
50.00

23
21.000
2.000
0.190
22.22

23
21.000
2.000
0.190
22.22

20
21.000
-1.000
0.048
5.56

84
84.000
0.000
0.857
100.00

.86
chi-square

3
df

.8358
p-value
Looking at the p-value, I would have thought the decision on whether or not to reject the null hypothesis was crystal clear ....

p.s. Not that it changes anything, but I get p-value = 0.8351

3. ## Goodness of Fit Test

Mr. Fantastic...
I thought that it was clear as well but I wanted to be sure that I wasn't overlooking anything. My instructor is one of those that likes to ask trick questions! I felt that this could be one of them since the answer was so clear.

Thanks!