Carpal tunnel The painful wrist condition called carpaltunnel syndrome can be treated with surgery or less invasive wrist splints. In September 2002, Time maga-zine reported on a study of 176 patients. Among the half that had surgery, 80% showed improvement after threemonths, but only 54% of those who used the wrist splintsimproved.a) What’s the standard error of the difference in the twoproportions?b) Construct a 95% confidence interval for thisdifference.c) State an appropriate conclusion.

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Carpal tunnel The painful wrist condition called carpal
tunnel syndrome can be treated with surgery or less
invasive wrist splints. In September 2002, Time maga-
zine reported on a study of 176 patients. Among the half
that had surgery, 80% showed improvement after three
months, but only 54% of those who used the wrist splints
improved.
a) What’s the standard error of the difference in the two
proportions?
b) Construct a 95% confidence interval for this
difference.
c) State an appropriate conclusion.
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