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Test whether the relationship between the plan at retirement and residential area using Chi square test.

In a survey of 1500 residents of a particular county, each person was asked if he or she plans to relocate while reaching retirement age, and it was also recorded whether the person currently lives in a rural, suburban, or urban area of the county. The results of the survey are presented in the contingency table below.

 

Observed Frequencies

 

 

 

 

 

 

Plan at Retirement

 

 

 

 

Planning to relocate

Not planning to relocate

Totals

Residential Area

Rural

127

202

329

Suburban

384

117

501

 

Urban

358

312

670

 

Totals

869

631

1500


 

We are interested in determining whether there is the relationship between the plan at retirement and the residential area.

find out the expected frequencies. (Fill in the blanks in the table. One value is already supplied.)
At the 0.01 level of significance, is there evidence of a significant relationship between the plan at retirement and the residential area? In carrying out your work please include the following information:

 

Expected Frequencies

 

 

 

 

 

 

Plan at Retirement

 

 

 

 

Planning to relocate

Not planning to relocate

Totals

Residential Area

Rural

190.6

_______

329

Suburban

_______

_______

501

 

Urban

_______

_______

670

 

Totals

869

631

1500

 

a)status the Null hypothesis:Ho:
b)State  the Alternative hypothesis: Ha: 
c)Find Degrees of freedom 
d)Compute the Chi Square Statistic and enter the value only in your posting.
Χ2 =?
e) Find Critical value.
f) State the Conclusion: Reject Ho? (Yes or No)

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M921859

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