Problem 2 RE

Carpal Tunnel Syndrome Construct a confidence interval suitable for testing the claim from Exercise 1. What feature of the resulting confidence interval leads to the same conclusion from Exercise 1?

Exercise 1

Carpal Tunnel Syndrome Carpal tunnel syndrome is a common wrist complaint resulting from a compressed nerve, and it is often caused by repetitive wrist movements. In a randomized controlled trial, among 73 patients treated with surgery and evaluated one year later, 67 were found to have successful treatments. Among 83 patients treated with splints and evaluated one year later, 60 were found to have successful treatments (based on data from “Splinting vs Surgery in the Treatment of Carpal Tunnel Syndrome,” by Gerritsen et al., Journal of the American Medical Association, Vol. 288, No. 10). In a journal article about the trial, authors claimed that “treatment with open carpal tunnel release surgery resulted in better outcomes than treatment with wrist splinting for patients with CTS (carpal tunnel syndrome).” Use a 0.01 significance level to test the stated claim. What treatment strategy is suggested by the results?

Problem 2 RE

Answer:

Step1 of 3:

We have

Now,

P =

q =1 - p = 1 - 0.8141 = 0.1859

Step2 of 3:

Consider the appropriate null and alternative hypothesis are:

against

With level of significance

Consider Z test statistics is given by

Z =

=

...