A survey asked, "How many tattoos do you currently have on your body?" Of the 1217 males surveyed, 183 responded that they had at least one tattoo. Of the 1098 females surveyed, 146 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. O A. 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 B. 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. OC. 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. O D. 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 fomalos that h ave at loast ono tatto0
A survey asked, "How many tattoos do you currently have on your body?" Of the 1217 males surveyed, 183 responded that they had at least one tattoo. Of the 1098 females surveyed, 146 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. O A. 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 B. 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. OC. 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. O D. 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 fomalos that h ave at loast ono tatto0
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Statistical Analysis of Tattoo Prevalence between Genders
A survey was conducted to determine the prevalence of tattoos among individuals. Participants were asked, "How many tattoos do you currently have on your body?" Out of 1217 males surveyed, 183 responded that they had at least one tattoo. Similarly, out of 1098 females surveyed, 146 responded that they had at least one tattoo. The goal is to construct a 99% confidence interval to assess whether there is a significant difference between the proportion of males and females who have at least one tattoo.
Let \( p_1 \) represent the proportion of males with tattoos and \( p_2 \) represent the proportion of females with tattoos. The 99% confidence interval for \( p_1 - p_2 \) is to be calculated.
**Confidence Interval Calculation:**
- **The lower bound is:** [Enter Value Here]
- **The upper bound is:** [Enter Value Here]
(*Note: Round to three decimal places as needed.)
### Interpretation of the Interval
Select the correct interpretation based on the confidence interval calculated:
**A.** 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.
**B.** 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.
**C.** 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.
**D.** 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.
### Detailed Explanation of Graphs and Diagrams
*(Note: There are no graphs or diagrams provided in the original content. If any were present, this section would include detailed descriptions of each graph, explaining axes, data points, trends, and the relevance of the graphs to the study.)*
This analysis provides a statistical foundation to understand if there is any significant disparity in tattoo prevalence between males and females within the surveyed population.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4175707-d254-4126-a791-753312836f35%2Fd2f21bcf-627d-4ea4-adf2-64e7683a3381%2Fdgiwf5p_processed.png&w=3840&q=75)
Transcribed Image Text:### Statistical Analysis of Tattoo Prevalence between Genders
A survey was conducted to determine the prevalence of tattoos among individuals. Participants were asked, "How many tattoos do you currently have on your body?" Out of 1217 males surveyed, 183 responded that they had at least one tattoo. Similarly, out of 1098 females surveyed, 146 responded that they had at least one tattoo. The goal is to construct a 99% confidence interval to assess whether there is a significant difference between the proportion of males and females who have at least one tattoo.
Let \( p_1 \) represent the proportion of males with tattoos and \( p_2 \) represent the proportion of females with tattoos. The 99% confidence interval for \( p_1 - p_2 \) is to be calculated.
**Confidence Interval Calculation:**
- **The lower bound is:** [Enter Value Here]
- **The upper bound is:** [Enter Value Here]
(*Note: Round to three decimal places as needed.)
### Interpretation of the Interval
Select the correct interpretation based on the confidence interval calculated:
**A.** 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.
**B.** 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.
**C.** 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.
**D.** 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.
### Detailed Explanation of Graphs and Diagrams
*(Note: There are no graphs or diagrams provided in the original content. If any were present, this section would include detailed descriptions of each graph, explaining axes, data points, trends, and the relevance of the graphs to the study.)*
This analysis provides a statistical foundation to understand if there is any significant disparity in tattoo prevalence between males and females within the surveyed population.
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