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 than liquid nitrogen, which doctors routinely use to freeze warts. An article described a study conducted at a medical center. Patients with warts were randomly assigned to either the duct tape treatment or the more traditional freezing treatment. Those 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 summarized in the following table. Treatment n Number with Wart Successfully Removed Liquid nitrogen freezing 103 60 Duct Tape 101 88 Do these data suggest that freezing is less successful than duct tape in removing warts? Test the relevant hypotheses using a significance level of 0.01. (Use pnitrogen − pduct tape.) Find the test statistic. (Round your answer to two decimal places.) z = Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. Fail to reject H0. We do not have convincing evidence that the proportion of people for whom the wart is successfully removed is less for the liquid nitrogen treatment than for duct tape treatment.Fail to reject H0. We have convincing evidence that the proportion of people for whom the wart is successfully removed is less for the liquid nitrogen treatment than for duct tape treatment. Reject H0. We have convincing evidence that the proportion of people for whom the wart is successfully removed is less for the liquid nitrogen treatment than for duct tape treatment.Reject H0. We do not have convincing evidence that the proportion of people for whom the wart is successfully removed is less for the liquid nitrogen treatment than for duct tape treatment.
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 than liquid nitrogen, which doctors routinely use to freeze warts. An article described a study conducted at a medical center. Patients with warts were randomly assigned to either the duct tape treatment or the more traditional freezing treatment. Those 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 summarized in the following table. Treatment n Number with Wart Successfully Removed Liquid nitrogen freezing 103 60 Duct Tape 101 88 Do these data suggest that freezing is less successful than duct tape in removing warts? Test the relevant hypotheses using a significance level of 0.01. (Use pnitrogen − pduct tape.) Find the test statistic. (Round your answer to two decimal places.) z = Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. Fail to reject H0. We do not have convincing evidence that the proportion of people for whom the wart is successfully removed is less for the liquid nitrogen treatment than for duct tape treatment.Fail to reject H0. We have convincing evidence that the proportion of people for whom the wart is successfully removed is less for the liquid nitrogen treatment than for duct tape treatment. Reject H0. We have convincing evidence that the proportion of people for whom the wart is successfully removed is less for the liquid nitrogen treatment than for duct tape treatment.Reject H0. We do not have convincing evidence that the proportion of people for whom the wart is successfully removed is less for the liquid nitrogen treatment than for duct tape treatment.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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 than liquid nitrogen, which doctors routinely use to freeze warts. An article described a study conducted at a medical center. Patients with warts were randomly assigned to either the duct tape treatment or the more traditional freezing treatment.
Those 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 summarized in the following table.
Treatment | n | Number with Wart Successfully Removed |
---|---|---|
Liquid nitrogen freezing | 103 | 60 |
Duct Tape | 101 | 88 |
Do these data suggest that freezing is less successful than duct tape in removing warts? Test the relevant hypotheses using a significance level of 0.01. (Use pnitrogen − pduct tape.)
Find the test statistic. (Round your answer to two decimal places.)
z =
Find the P-value. (Round your answer to four decimal places.)
P-value =
State your conclusion.
Fail to reject H0. We do not have convincing evidence that the proportion of people for whom the wart is successfully removed is less for the liquid nitrogen treatment than for duct tape treatment.Fail to reject H0. We have convincing evidence that the proportion of people for whom the wart is successfully removed is less for the liquid nitrogen treatment than for duct tape treatment. Reject H0. We have convincing evidence that the proportion of people for whom the wart is successfully removed is less for the liquid nitrogen treatment than for duct tape treatment.Reject H0. We do not have convincing evidence that the proportion of people for whom the wart is successfully removed is less for the liquid nitrogen treatment than for duct tape treatment.
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