Researchers want to test a new hand exercise plan for arthritis patients to see if they have improved flexibility. They recruited 110 patients with arthritis in their hands and randomly assigned them to one of two treatment groups: group 1 took their regular medicine and did the new hand exercises; and group 2 only took medicine. After one month, 42 of the 55 in group 1 improved in their flexibility, and 37 of the 55 in group 2 improved their flexibility. Check the conditions for constructing a confidence interval for the difference in proportions. Random condition: V met 10% condition: Large Counts condition: Are all the conditions for inference met?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Researchers want to test a new hand exercise plan for
arthritis patients to see if they have improved flexibility.
They recruited 110 patients with arthritis in their hands
and randomly assigned them to one of two treatment
groups: group 1 took their regular medicine and did the
new hand exercises; and group 2 only took medicine.
After one month, 42 of the 55 in group 1 improved in their
flexibility, and 37 of the 55 in group 2 improved their
flexibility.
Check the conditions for constructing a confidence
interval for the difference in proportions.
Random condition: V met
10% condition:
Large Counts condition:
Are all the conditions for inference met?
Transcribed Image Text:Researchers want to test a new hand exercise plan for arthritis patients to see if they have improved flexibility. They recruited 110 patients with arthritis in their hands and randomly assigned them to one of two treatment groups: group 1 took their regular medicine and did the new hand exercises; and group 2 only took medicine. After one month, 42 of the 55 in group 1 improved in their flexibility, and 37 of the 55 in group 2 improved their flexibility. Check the conditions for constructing a confidence interval for the difference in proportions. Random condition: V met 10% condition: Large Counts condition: Are all the conditions for inference met?
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