Question

6. A researcher wishes to test the effect of early discharge of cardiac patients on their ability to cope at home. The researcher administers the coping scale to 10 cardiac patients who were discharged early and 10 patients who stayed in the hospital for a longer period of time. Higher scores indicate better coping. Based on the data given in the table below, can you conclude that early discharge has an effect on cardiac patients’ on ability to cope at home? Perform an appropriate test at α = 0.05.

Conditions	Data
Early discharge	23, 17, 22, 18, 20, 26, 16, 13, 21, 14
Regular discharge (staying in the hospital for longer period of time)	30, 27, 25, 20, 24, 32, 17, 18, 28, 29

• Which hypothesis test should be used?

 one-sample Z-test  one-sample t-test  independent-samples t-test  paired-samples t-test

• Step 1. State the hypotheses (both in words and in symbols)

• H₀:

• H₁:

• Step 2: α = 0.05

• Step 3-1: Use SAS to test the homogeneity of variances assumption (write a SAS code for reading in the data set and analyzing it, and upload your SAS code on the Cyber campus website). Copy and paste the relevant SAS output. Report if the homogeneity of variances assumption is satisfied.

• Step 3-2. Obtain the test statistic. Copy and paste the relevant SAS output. Report the obtained test statistic and calculate effect size (Cohen’s d).

• Step 4: Make a decision.

• Step 5: State a conclusion (You should include the test statistic, p-value, effect size, and a verbal interpretation of the result).

Answer 1