Chi-Square Test of Independence

A study was done to test the claim that discharging a newborn infant discharged early (less than 30 hours after birth) is related to re-hospitalization of that infant within a week of discharge.

The following data was collected related to early discharge and re-hospitalization:

Re-hospitalized within 1 week Not
re-hospitalized Total
Early Discharge (less than 30 hours) 622 3997 4619
Late Discharge (30 - 78 hours) 631 4660 5291

Hint: Instructions for performing this test in STATDISK can be found in the Stat Disk User's Manual under the heading Chi Square Test of Independence (Contingency Tables).


Instructions Answers
11. Just looking at the numbers in the table, what is your best guess about whether early discharge is related to re-hospitalization? [Hint: you might compute the difference in percentages between those that were discharged early and those that were not.]
12. Compute a Chi-Square Test of Independence on this data using a 0.05 level of significance. Paste your results here.
13. What is the null and alternative hypothesis for this result?
14. What is the p-value for this result? What does this represent?
15. State your conclusion related to the context of this problem.