A randomized trial was designed to compare the effectiveness of splinting versus surgery in the treatment of carpal tunnel syndrome. Results, given in the below table, are based on evaluations made one year after treatment.
Using a 0.05 level of significance (? = 0.05), test the claim that success is independent of the type of treatment:
Successful Treatment Unsuccessful Treatment
Splint Treatment 60 25
Surgery Treatment 70 10
#7a) Write the null hypothesis (Ho) for this test:
#7b) Write the alternative hypothesis (Ha) for this test:
#8a) Compute the degrees of freedom associated with this test:
#8b) Find the critical value:
#9a) Write the rule of rejection (decision rule) using the test statistic and critical value
#9b) Write the rule of rejection (decision rule) using the p-value and alpha
#10a) Compute the Test Statistic (Ï?2):
Was the above computed by-hand, Minitab, or other (if other, please specify)?
#10b) Compute the associated p-value:
#11) What if your statistical result (i.e., are you rejection or not rejecting the null hypothesis)?
#12) Based on your results from Question #11, which treatment, if any, is more effective? (If you conclude one treatment is superior, state your reasons - beyond your answer to Question #11 - for your choice).
A Complete, Neat and Step-by-step Solution is provided in the attached file.