# Chi square test : Goodness of fit

Compute a chi-square test for goodness of fit for each of the following, using the .05 level for each. In each problem, the expected distribution is equal frequencies in each category.

1. 5 10 5

2. 10 15 10

3. 10 20 10

4. 5 15 5

https://brainmass.com/statistics/chi-squared-test/chi-square-test-goodness-fit-229271

#### Solution Preview

Please refer attached file for complete solution. Formulas typed with the help of equation writer are missing here.

Solution:

Expected frequency= 6.67

Obseved frequency (fo) Expected frequency (fe) (fo-fe)^2/fe

5.00 6.67 0.42

10.00 6.67 1.67

5.00 6.67 0.42

2.50

H0:Observed pattern follows expected pattern

H1: Observed pattern does not follow expected pattern

Critical Value: (Use Table or use Excel)

=5.991

DEGREE OF FREEDOM=2, ALPHA =0.05

Test Statistics : Refer table and formula above

=2.50

Decision and Conclusion:

Since test statistics lies in the region bound by critical value, we cannot reject null ...

#### Solution Summary

Solution describes the steps involved in conducting a chi square test to check whether observed pattern fits the expected pattern.