Health Care Knowledge Systems reported that an insured woman spends longer on average in the hospital after childbirth than an uninsured woman. Two samples of 16 women were taken and the following data were found. Test the claim that insured women spend longer in the hospital than uninsured women using an α = .01.

 

Insured:  

 

Mean = 2.3 days

Standard Deviation = 0.77

Sample Size = 16

 

Uninsured:

 

Mean = 1.9 days

 Standard Deviation = 0.77

Sample Size = 16

 

To complete this lab exercise, you should:

(1) State the Null and Research Hypotheses

(2) Find the Critical Value using the T-Table and interpret what you will do with the null hypothesis given that Critical Value

(3) Identify the Correct Degrees of Freedom you'll use in the table

(4) HAND CALCULATE the t-value. Show your work. Start with the formula and then plug in the correct values from there.

(5) Make a decision regarding the null. Interpret your decision with regard to this question.

(6) HAND CALCULATE the p-value for the hypothesis test.

(7) BY HAND, construct a 98% Confidence Interval for the difference between insured and uninsured women.

(8) Reflect on the results and the exercise.

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