Apply the test at a 5% level of significance. What is critical value? What is computes statistic? True?

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A study is designed to investigate whether there is a difference in response to various 

treatments in patients with rheumatoid arthritis. The outcome is patient’s self-reported 

effect of treatment. The data are shown below. Is there a statistically significant 

difference in the proportions of patients who show improvement between treatments 1 

and 2. Apply the test at a 5% level of significance. 

1. Critical value: (2 points)

2. Computed statistic: (2 points) 

3. Based on comparing the computed statistics to the critical value which of the 

following is (are) true? (6 points) 

a. There is significant evidence, alpha=0.05, to show that there is a difference in 

the proportions of patients who show improvement between treatments 1 and 2. 

b. There is not significant evidence, alpha=0.05, to show that there is a difference in 

the proportions of patients who show improvement between treatments 1 and 2. 

c. There is significant evidence, alpha=0.05, to show that there is a no difference in 

the proportions of patients who show improvement between treatments 1 and 2. 

d. a and c. 

 

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