Example 3. Some people seem to believe that you can fix anything with duct tape. Even so, many were skeptical when researchers announced that duct tape may be a more effective and less painful alternative to liquid nitrogen, which doctors routinely use to freeze warts. A 2002 article described a study conducted at Madigan Army Medical Center. A sample of 204 patients with warts were randomly assigned to either the duct tape treatment or the more traditional freezing treatment. The 104 in the duct tape group wore duct tape over the wart for 6 days, then removed the tape, soaked the area in water, and used an emery board to scrape the area. This process was repeated for a maximum of 2 months or until the wart was gone. Data consistent with values in the article are as follows: Number with Wart n Successfully Removed Liquid nitrogen freezing 100 60 Duct tape 104 88 Do the data give statistical evidence that duct tape works better than freezing?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Example 3. Some people seem to believe that you can fix anything with duct tape. Even so, many were
skeptical when researchers announced that duct tape may be a more effective and less painful
alternative to liquid nitrogen, which doctors routinely use to freeze warts. A 2002 article described a
study conducted at Madigan Army Medical Center. A sample of 204 patients with warts were randomly
assigned to either the duct tape treatment or the more traditional freezing treatment. The 104 in the
duct tape group wore duct tape over the wart for 6 days, then removed the tape, soaked the area in
water, and used an emery board to scrape the area. This process was repeated for a maximum of 2
months or until the wart was gone. Data consistent with values in the article are as follows:
Number with Wart
n
Successfully Removed
Liquid nitrogen freezing
100
60
Duct tape
104
88
Do the data give statistical evidence that duct tape works better than freezing?
Transcribed Image Text:Example 3. Some people seem to believe that you can fix anything with duct tape. Even so, many were skeptical when researchers announced that duct tape may be a more effective and less painful alternative to liquid nitrogen, which doctors routinely use to freeze warts. A 2002 article described a study conducted at Madigan Army Medical Center. A sample of 204 patients with warts were randomly assigned to either the duct tape treatment or the more traditional freezing treatment. The 104 in the duct tape group wore duct tape over the wart for 6 days, then removed the tape, soaked the area in water, and used an emery board to scrape the area. This process was repeated for a maximum of 2 months or until the wart was gone. Data consistent with values in the article are as follows: Number with Wart n Successfully Removed Liquid nitrogen freezing 100 60 Duct tape 104 88 Do the data give statistical evidence that duct tape works better than freezing?
Exercise 3. Revisit Example 3. Our goal is to assess whether the data give statistical evidence that duct tape
works better than freezing.
(a) Carefully describe the inference target. Hint: It will be the difference of two probabilities. Describe these
probabilities as, for example, p1 = PRe, ("success"), where "success“ is . and RE, is.
(b) Compute and interpret a 95% confidence interval for the inference target.
(c) Carry out a test at level 0.001 of the relevant hypotheses. Include a PV report.
Transcribed Image Text:Exercise 3. Revisit Example 3. Our goal is to assess whether the data give statistical evidence that duct tape works better than freezing. (a) Carefully describe the inference target. Hint: It will be the difference of two probabilities. Describe these probabilities as, for example, p1 = PRe, ("success"), where "success“ is . and RE, is. (b) Compute and interpret a 95% confidence interval for the inference target. (c) Carry out a test at level 0.001 of the relevant hypotheses. Include a PV report.
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