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# Chi-square test for goodness of fit

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The solution addresses Chi-Square statistical questions.

13.4 The t-table has entries for areas of 0.10,0.05,0.025,0.01, L0.005. In contrast, the x2-table has entries for those ar¬eas and for 0.995, 0.99, 0.975, 0.95, and 0.90. Explain why the t-values corresponding to these additional areas can be obtained from the existing f-table, but must be provided explicitly in the x2-table.

In Exercises 13.5-13.8, use Table VII to determine the required J -values. Illustrate your work graphically.

13.6 For a Chi-square curve with 22 d.f., find the Xz-value that has area
a. 0.01 to its right. b. 0.995 to its right.

13.8 For a x -curve with df = 4, determine

!ar Sales. The American Automobile Manufacturee ssociation compiles data on U.S. car sales by type of eai. Following is the 1990 distribution, as reported in the World Almanac.
Type of car
13.0
9.4
Small Midsize Large Luxury
44.8
32.8
Percentage

https://brainmass.com/statistics/chi-squared-test/chi-square-test-goodness-fit-277111

#### Solution Summary

The solution provides step by step method for the calculation of chi square test for association. The solution also provides the difference between chi-square table and student's t table. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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## "Goodness-of-fit test" vs "chi-square test for independence"

The "goodness-of-fit test" and the "chi-square test for independence" both are used for hypothesis testing. These are easy to get mixed up. What is the difference in how each is used to test hypothesis?

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