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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

Mulvihill, Obuseh and Caldwell (2008) conducted a survey evaluating healthcare providers' perception of a new Mate children’s insurance program. One question asked the providers whether they viewed the reimbursement from the new insurance as higher, lower, or the same as private insurance. Another question assessed the providers’ overall satisfaction with the new insurance. The following table presents observed frequencies similar to the study results.

  Satisfied Not Satisfied  

Less

Reimbursement

46 54 100
Same or More Reimbursement 42 18 60
  88 72  

Do the results indicate that the providers' satisfaction of the new program is related to their perception of the reimbursement rates? Test with α = .05.

To determine
If the providers’ satisfaction is independent of the perception of reimbursement rates.

Explanation

Given info:

The below table shows the providers satisfaction and perception of reimbursement rates.

  Satisfied Not satisfied Total
Less 46 54 100
Same or more 42 18 60
Total 88 72 160

Calculation:

Observed values:

  Satisfied Not satisfied Total
Less 46 54 100
Same or more 42 18 60
Total 88 72 160

Expected values =fC×fRfT

  Satisfied Not satisfied Total
Less 55 45 100
Same or more 33 27 60
Total 88 72 160

Test statistic:

χ2=

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