MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A survey asked, "How many tattoos do you currently have on your body?" Of the 1207 males surveyed, 189 responded that they had at least one tattoo. Of the 1069 females surveyed, 141 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 p, represent the proportion of males with tattoos and p, represent the proportion of females with tattoos. Find the 99% confidence interval for p, - P2-
The lower bound is
The upper bound is
(Round to three decimal places as needed.)
Interpret the interval.
A. There is a 99% probability that the difference of the proportions is in the interval. Conclude that there is a significant difference in the proportion of males and females that have at least one tattoo.
O B. There is 99% confidence that the difference of the proportions is in the interval. Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at
least one tattoo.
O C. There is a 99% probability that the difference of the proportions is in the interval. Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at
least one tattoo.
O D. There is 99% confidence that the difference of the proportions is in the interval. Conclude that there is a significant difference in the proportion of males and females that have at least one tattoo.
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Transcribed Image Text:A survey asked, "How many tattoos do you currently have on your body?" Of the 1207 males surveyed, 189 responded that they had at least one tattoo. Of the 1069 females surveyed, 141 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 p, represent the proportion of males with tattoos and p, represent the proportion of females with tattoos. Find the 99% confidence interval for p, - P2- The lower bound is The upper bound is (Round to three decimal places as needed.) Interpret the interval. A. There is a 99% probability that the difference of the proportions is in the interval. Conclude that there is a significant difference in the proportion of males and females that have at least one tattoo. O B. There is 99% confidence that the difference of the proportions is in the interval. Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo. O C. There is a 99% probability that the difference of the proportions is in the interval. Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo. O D. There is 99% confidence that the difference of the proportions is in the interval. Conclude that there is a significant difference in the proportion of males and females that have at least one tattoo.
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