1 Carpal tunnel syndrome is a common wrist complaint resulti

1. Carpal tunnel syndrome is a common wrist complaint resulting from a compressed nerve, and it is often caused by repetitive wrist movement. In a randomized controlled trial, among 73 patients treated with surgery and evaluated one year later, 67 were found to have successful treatment. Among 83 patients treated with splints and evaluated one year later, 60 were found to have successful treatments. In a journal article about the trial, author\'s claimed that \"treatment with open carpal tunnel release surgery resulted in better outcomes than treatments with wrist sprinting for patients with CTS (carpal tunnel syndrome).\" Use a 0.01 significance level to treat the stated clean. What treatment strategy is suggested by the result?

Please show work. Thank you!

Solution

Null hypothesis: P₁ = P₂
Alternative hypothesis: P₁> P₂

P₁ = proportion of sample 1

P₂ = proportion of sample 2

P= COMBINED PROPORTION =0.8141

    Standard error of difference of sample proportions = ?d = sqrt{ [P(1 - P)(1 / n1] + (1 / n2] } =0.0624

Z Test for Differences in Two Proportions

Hypothesized Difference

0

Level of Significance

0.01

Group 1

Number of Items of Interest

67

Sample Size

73

Group 2

Number of Items of Interest

60

Sample Size

83

Group 1 Proportion

0.9178

Group 2 Proportion

0.7229

Difference in Two Proportions

0.1949

Average Proportion

0.8141

Z Test Statistic=0.1949/0.0624

3.123

Upper-Tail Test

Upper Critical Value

2.3263

Calculated z=3.1226 > table value at 0.01% level 2.3263

Reject the null hypothesis

Treatment with open carpal tunnel release surgery resulted in better outcomes than treatments with wrist sprinting for patients with CTS (carpal tunnel syndrome).

Surgery is suggested by the result.