New regulations have been implemented to raise the level of compliance among clients submissions.
To measure the efficiency of the new regulations, we randomly selected two samples of 150 clients’ submissions each. Sample 1 is from the period before the new Regulations implementation, while sample 2 is after the new Regulations implementation.
We tested the compliance of all the clients in both samples and got the following results:
Sample 1 (before the new Regulations implementation): 132 compliant, 18 incompliant
Sample 2 (After the new Regulations implementation): 135 compliant, 15 incompliant
We need to statistically measure the efficiency of the new rules in increasing the level of compliance.
In your study, we need to know what statistical test have you used with justifications and an example, interpretation of the results, the strength of the results, and the level of confidence.
Additionally, please clarify if the following results based on the above data is correct are correct:
By using binomial distribution:
(Using the incompliance as success)
Sample1: Mean1 = 18, Var1 = 15.84, SD1 = 3.979
Mean2 = Mean2 = 15, Var2 = 13.5, SD2 = 3.674
H0: Mean1 - Mean2 <= 0
Ha: Mean1 - Mean2 > 0
Z = 6.783 --> Reject H0
With 99% confidence, we can say that compliance has increased from 88% to 90%.
With 99% confidence, we can say that noncompliance has decreased from 12% to 10%.
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