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Chi square hypothesis test for independence of variables

1) Two hundred managers from various levels were randomly selected and interviewed regarding their concern about environmental issues. The response of each person was tallied into one of three categories: no concern, some concern, and great concern. The results were:
Level of Management No Concern Some Concern Great Concern
Top management 15 13 12
Middle management 20 19 21
Supervisor 7 7 6
Group leader 28 21 31

Use the .01 significance level to determine whether there is a relationship between management level and environmental concern.

2) 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

Solution Summary

The solutions answers 2 questions on chi square test of hypothesis for independence of variables.