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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.

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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 significant difference in THE PROPORTIONS  of patients who show improvement between treatment 1 and 2?  Run the test at a 5% level of significance.

Symptoms

Worsened

 No Effect Symptoms Improved Total
Treatment 1 22 14 14 50
Treatment 2 14 15 21 50

1. Critical Value:
2. Computed Statistic:
3. Based on comparing the computed statistic and the critical value, which of the following is true?

a) there is statistical evidence at 0.05 alpha that there is a difference in the proportions of treatment 1 and 2?

b) there is not statistical evidence at 0.05 alpha that there is a difference in the proportions of treatment 1 and 2?
c) there is statistical evidence at 0,05 alpha, that there IS NOT a difference in the proportion of treatment 1 and 2?
d) A and C

 
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