1. Carpal tunnel syndrome is a common wrist complaint resulting from a compresse
ID: 3428236 • Letter: 1
Question
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?
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Explanation / Answer
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.
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
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