Explore BrainMass

Chi square test : Goodness of fit

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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

© BrainMass Inc. brainmass.com March 21, 2019, 5:41 pm ad1c9bdddf

Solution Preview

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


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

H0:Observed pattern follows expected pattern

H1: Observed pattern does not follow expected pattern

Critical Value: (Use Table or use Excel)
Test Statistics : Refer table and formula above

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.