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A survey asked, "How many tattoos do you currently have on your body? Of the 1204 males surveyed. 178 responded that they had at least one tattoo. Of the 1098 females surveyed. 127 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 py represent the proportion of females with tattoos. Find the 95% confidence interval for P1-P₂ The lower bound is The upper bound is Round to three decimal places as needed) Interpret the interval OA. 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 OB. 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 OC. 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 OD. 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

A survey asked, "How many tattoos do you currently have on your body? Of the 1204 males surveyed. 178 responded that they had at least one tattoo. Of the 1098 females surveyed. 127 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 py represent the proportion of females with tattoos. Find the 95% confidence interval for P1-P₂ The lower bound is The upper bound is Round to three decimal places as needed) Interpret the interval OA. 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 OB. 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 OC. 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 OD. 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A survey asked, "How many tattoos do you currently have on your body?" Of the 1204 males surveyed, 178 responded that they had t least one tattoo. Of the 1098 females surveyed, 127 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 p₁ represent the proportion of males with tattoos and p2 represent the proportion of females with tattoos. Find the 95% confidence interval for p₁ -P2- The lower bound is The upper bound is (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 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 a significant difference in the proportion of males and females that have at least one tattoo. O C. 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 D. 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 least one tattoo.
Transcribed Image Text:A survey asked, "How many tattoos do you currently have on your body?" Of the 1204 males surveyed, 178 responded that they had t least one tattoo. Of the 1098 females surveyed, 127 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 p₁ represent the proportion of males with tattoos and p2 represent the proportion of females with tattoos. Find the 95% confidence interval for p₁ -P2- The lower bound is The upper bound is (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 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 a significant difference in the proportion of males and females that have at least one tattoo. O C. 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 D. 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 least one tattoo.
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