A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1202 males​ surveyed, 180 responded that they had at least one tattoo. Of the 1034 females​ surveyed, 147 responded that they had at least one tattoo. Construct a 95​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.   Let p 1 represent the proportion of males with tattoos and p 2 represent the proportion of females with tattoos. Find the 95% confidence interval for p 1 -p 2p

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the
1202
males​ surveyed,
180
responded that they had at least one tattoo. Of the
1034
females​ surveyed,
147
responded that they had at least one tattoo. Construct a
95​%
confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.
 
Let p 1 represent the proportion of males with tattoos and
p 2 represent the proportion of females with tattoos. Find the
95%
confidence interval for
p 1 -p 2p
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