# Chi-square Test of Goodness of Fit & Association

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20. There are four entrances to the Government Center Building in downtown Philadelphia. The building maintenance supervisor would like to know if the entrances are equally utilized. To investigate, 400 people were observed entering the building. The number using each entrance is reported below. At the .01 significance level, is there a difference in the use of the four entrances.

Entrance Frequency

Main Street 140

Broad Street 120

Cherry Street 90

Walnut Street 50

Total 400

21. At the .01 significance level, does the distribution of the orders reflect the population?

The owner of a mail-order catalog would like to compare her sales with the geographic distribution of the population. According to the United States Bureau of the Census, 21 percent of the population lives in the Northeast, 24 percent in the Midwest, 35 percent in the South, and 20 percent in the West. Listed below is a breakdown of a sample of 400 orders randomly selected from those shipped last month. At the .01 significance level, does the distribution of the orders reflect the population?

Region Frequency

Northeast 68

Midwest 104

South 155

West 73

Total 400

26. Relationship between job pressure and age

A study regarding the relationship between age and the amount of pressure sales personnel feel in relation to their jobs revealed the following sample information. At the .01 significance level, is there a relationship between job pressure and age?

Degree of Job Pressure

Age (years) Low Medium High

Less than 25 20 18 22

25 up to 40 50 46 44

40 up to 60 58 63 59

60 and older 34 43 43

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A sample of employees at a large chemical plant was asked to indicate a preference for one of three pension plans.

A sample of employees at a large chemical plant was asked to indicate a preference for one of three pension plans. The results are given in the following table. Does it seem that there is a relationship between the pension plan selected and the job classification of the employees? Use the .01 significance level.

? Pension Plan

Job Class Plan A Plan B Plan C

Supervisor 10 13 29

Clerical 19 80 19

Labor 81 57 22

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##### Solution Summary

The solution provides step by step method for the calculation of chi square test for goodness of fit and association. 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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