A study is designed to investigate whether there is a difference in response to various treatments in patients with rheumatoid arthritis. The outcome is patients self-reported effect of treatment. The data are shown below. Are symptoms independent of treatment? Conduct a ChiAquare test at a 5% level of significance.

1. df=

2. Critical value=

3. Compound statistic=

4. Based on comparing the computed statistics to the critical value which of the following is (are) true?

a. There is significant evidence, alpha=0.05, to show that treatment and response are not independent.

b. There is not significantevidence, alpha=0.05, to show that treatment and response are not independent.

c. There is significant evidence, alpha=0.05, to show that treatment and response are independent.

d. b and c.

Symptoms Worsened	No Effect	Symptoms Improved	Total
Treatment 1	22	14	14	50
Treatment 2	14	15	21	50
Treatment 3	9	12	29	50