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.
- 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.

1. Random condition:
2. 10% condition:
3. Large counts condition:

Are all the conditions for inference met?

Question

High School

Answer :

RaghvyBliss RaghvyBliss · Answer 1 · 2024-11-16T06:45:50-05:00

The conditions for constructing a confidence interval for the difference in proportions are met.

The conditions for constructing a confidence interval for the difference in proportions are as follows:

Random Condition: The patients were randomly assigned to the treatment groups.

10% Condition: The sample size is less than 10% of the population size, assuming that there are more than 1100 arthritis patients in total.

Large Counts Condition: The number of patients who improved in each group is greater than 10.

Based on these conditions, all the conditions for inference are met.

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