A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1227 males​ surveyed, 176 responded that they had at least one tattoo. Of the 1074 females​ surveyed,126 responded that they had at least one tattoo. Construct a ​99% 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.

A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1205 males​ surveyed, 199 responded that they had at least one tattoo. Of the 1030 females​ surveyed, 127 responded that they had at least one tattoo. Construct a 99​% 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 p1 represent the proportion of males with tattoos and p2 represent the proportion of females with tattoos. Find the 99​% confidence interval for p1−p2.   The lower bound is nothing. The upper bound is nothing. ​(Round to three decimal places as​ needed.)

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A sample of n = 200 college students are asked if they believe in extraterrestrial life and 120 of these students say that they do. The data are used to test if more than half of college students believe in extraterrestrial life. d. Find a 95% confidence interval   e. Write a conclusion for the confidence interval