A survey asked, "How many tattoos do you currently have on your body?" Of the 1247 males surveyed, 176 responded that they had at least one tattoo. Of the 1075 females surveyed, 148 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, represent the proportion of males with tattoos and p2 represent the proportion of females with tattoos. Find the 95% confidence interval for p, - P2. The lower bound is - 0.025 . The upper bound is 0.031 (Round to three decimal places as needed.) Interpret the interval. O A. There is 95% 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 B. There is a 95% 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. C. There is 95% 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. O D. There is a 95% 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A survey asked, "How many tattoos do you currently have on your body?" Of the 1247 males surveyed, 176
responded that they had at least one tattoo. Of the 1075 females surveyed, 148 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, represent the proportion of males with tattoos and p2 represent the proportion of females with tattoos.
Find the 95% confidence interval for p, - P2.
The lower bound is -0.025
The upper bound is 0.031.
(Round to three decimal places as needed.)
Interpret the interval.
A. There is 95% 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.
B. There is a 95% 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.
C. There is 95% 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.
D. There is a 95% 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.
Transcribed Image Text:A survey asked, "How many tattoos do you currently have on your body?" Of the 1247 males surveyed, 176 responded that they had at least one tattoo. Of the 1075 females surveyed, 148 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, represent the proportion of males with tattoos and p2 represent the proportion of females with tattoos. Find the 95% confidence interval for p, - P2. The lower bound is -0.025 The upper bound is 0.031. (Round to three decimal places as needed.) Interpret the interval. A. There is 95% 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. B. There is a 95% 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. C. There is 95% 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. D. There is a 95% 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.
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