stat assignment.

Assignment 14: Categorical Data Name:

Neatly respond to each prompt. Show all work for full credit. Round to four decimal places.

1. A study compared members of a medical clinic who filed complaints with a random sample of members who did not complain. The study divided the complainers into two subgroups: those who filed complaints about medical treatment and those who filed nonmedical complaints. Here are the data on the total number in each group and the number who voluntarily left the medical clinic.

	No complaint	Medical complaint	Nonmedical complaint
total	743	199	440
left	22	26	28

a. Find the proportions of those who did not file a complaint, those who filed a medical complaint, and those who filed a nonmedical complaint who left the clinic. Does there appear to be a relationship between complaint status and leaving? Explain.

b. Set up the appropriate two-way table.

	No Complaint	Medical Complaint	NonMed Complain	Total
Left
Did not Leave
Total

c. Does it appear that complaint status and leaving are independent? Explain.

d. Fill in the tables with values that you would expect if complaint status and leaving were independent. Explain your reasoning.

	No Complaint	Medical Complaint	NonMed Complain	Total
Left
Did not Leave
Total

e. Use a chi-square test analyze the data to see if there is a relationship between complaint (no,yes - medical, yes - nonmedical) and leaving the clinic (yes or no).

d. Are the assumptions necessary for conducting this test met? Explain.