QUESTION 2: Understanding differences between group provide us with critical s i

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QUESTION 2: Understanding differences between group provide us with critical s is important, and t-tests can help erndt ou re a data analyst in the Cardiothoracic Surgery unit at NYU Langone Medical of service provision: Imaginc thainformation about how group are, on average, different or the same. c ur manager has asked you to get a better understanding of a few important aspects Patient understanding of the risks of surgery e The effectiveness of how well administrators collect moncy owed for services across two different locations You decide to conduct thrce t-tests to examinc these potential differences. The first two t-tests are paired samples t-tests that compare the patient's rating of their knowledge of the risks of surgery before an informational meeting with the surgeon, and after (note: these tests happen at two different times [before and after the mecting with the surgcon] and in two different locations, and should be interpreted as such). Location A: Mean of the differences: Results ofthe paired samples t-test: 2.01 3.43 (p=0.051) Location B: Mcan of the differences: Results of the paired samples t-test: 8.73 (p 0.019) 6.80 The third t-test is an independent samples t-test that compares the proportion of total charges collected by location (measured as total dollars collected/total dollars charged). Results ofthe independent samples t-test: 13.73 (p = 0.002) Your task is to write a memo to your supervisor that provides: An interpretation of each of the three t-tests . A recommendation for action on both issues (effectiveness of surgcons in explaining the risks of surgery; differences in location in collecting payment for services).

Explanation / Answer

Solution-

Considering the first test on location A-

We have p-value fromthe result equal to 0.051 , which is greater than 0.05 hence null hypothesis- suggesting no change in perceptive of risks in surgery on the mind of same person, is not rejected 5% level of significance and thus location A meeting wasn't effective.

Now considering the second test on location B-

We have p-value from the result equal to 0.019 , which is less than 0.05 hence null hypothesis- suggesting no change in perceptive of risks in surgery on the mind of same person, is rejected 5% level of significance and thus location B meeting was effective.

Now considering the change in the proportion of total charges collected-

We have p-value from the result equal to 0.002 , which is less than 0.05 hence null hypothesis- suggesting no change in the total charges collected ,is rejected at 5% level of significance and thus there is a difference between the rates of charges collected per dollar charged is different for two locations.

Thus surgeons at location A needs to do more work on explaining the risks of surgery and thus they need to be more efficient too in collecting money for the services.

Thanks!

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