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After receiving complaints from his customers about the store being closed on Sundays, a storekeeper decided to conduct a survey. He randomly selected 100 female customers and 120 male customers and asked them, "Are you interested in shopping at this store on Sundays?" He constructed a 95% confidence interval by subtracting the proportion of females from the proportion of males in favor of shopping on Sunday. The resulting interval was (-0.23, -0.18). Which of the following is a correct interpretation of the interval?

After receiving complaints from his customers about the store being closed on Sundays, a storekeeper decided to conduct a survey. He randomly selected 100 female customers and 120 male customers and asked them, "Are you interested in shopping at this store on Sundays?" He constructed a 95% confidence interval by subtracting the proportion of females from the proportion of males in favor of shopping on Sunday. The resulting interval was (-0.23, -0.18). Which of the following is a correct interpretation of the interval?

MATLAB: An Introduction with Applications
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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After receiving complaints from his customers about the store being closed on Sundays, a storekeeper decided to conduct a survey. He randomly selected 100 female customers and 120 male customers and asked them, "Are you interested in shopping at this store on Sundays?" He constructed a 95% confidence interval by subtracting the proportion of females from the proportion of males in favor of shopping on Sunday. The resulting interval was (-0.23, -0.18). Which of the following is a correct interpretation of the interval? We are 95% confident that the proportion of females interested in shopping on Sundays exceeds the proportion of males interested in shopping on Sundays. Because the interval does not contain zero, the interval is invalid and should not be interpreted. O Because the interval contains negative values, it is invalid and should not be interpreted. O We are 95% confident that the proportion of males interested in shopping on Sundays exceeds the proportion of females interested in shopping on Sundays. O We are 95% confident that the proportion of females interested in shopping on Sundays is approximately equal to the proportion of males interested in shopping on Sundays.
Transcribed Image Text:After receiving complaints from his customers about the store being closed on Sundays, a storekeeper decided to conduct a survey. He randomly selected 100 female customers and 120 male customers and asked them, "Are you interested in shopping at this store on Sundays?" He constructed a 95% confidence interval by subtracting the proportion of females from the proportion of males in favor of shopping on Sunday. The resulting interval was (-0.23, -0.18). Which of the following is a correct interpretation of the interval? We are 95% confident that the proportion of females interested in shopping on Sundays exceeds the proportion of males interested in shopping on Sundays. Because the interval does not contain zero, the interval is invalid and should not be interpreted. O Because the interval contains negative values, it is invalid and should not be interpreted. O We are 95% confident that the proportion of males interested in shopping on Sundays exceeds the proportion of females interested in shopping on Sundays. O We are 95% confident that the proportion of females interested in shopping on Sundays is approximately equal to the proportion of males interested in shopping on Sundays.
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