Gender = gender of student     Drink = drink preference; 0 = Coke Classic, 1 = Diet Coke Gender Drink       male 0       female 1       male 1       female 1       male 1       male 1       male 0       female 1       male 1       male 1       female 0       female 1       female 0       male 0       male 0       female 1       female 0       female 1       male 0       male 1       male 0       male 1       male 0       female 1       female 1       female 0       male 1       male 0       male 0       male 1       female 0       female 1       female 1       male 1       female 0       male 0       male 1       male 1       female 1       male 1       female 1       male 0       male 0       female 1       female 1       female 0       male 1       male 1       male 1       female 0       male 1       female 0       female 1       female 1       female 1       female 1       female 0       male 1       male 0       female 1       male 1       female 1       male 0       male 0       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1       male 1       male 0       male 0       female 0       female 1       female 0       male 1       male 1       male 1       male 0       male 1       female 1       female 0       female 1       male 1       male 0       male 0       male 0       female 1       male 1       male 0       male 0       male 1       male 0       female 1       female 0       female 1       male 1       male 0       female 0       female 1       male 1       female 0       male 1       male 1       male 0       female 1       female 1       male 0       male 0       female 1       female 0       female 1       female 1       female 1       male 0       male 0       female 1       female 1       female 1       female 1       female 0       female 0       male 1       male 0       male 1       female 1       female 1       female 1       male 0       female 1       female 0       male 1       male 0       male 1       female 1       female 1       male 0       female 0       female 1       male 1       male 1       female 1       male 0       female 0       female 0       female 1       male 1       male 0       male 0       female 0       male 0       female 0       male 1       male 1       female 0       female 0       male 0       female 0       female 1       female 0       male 1       female 0       male 1       female 0       male 1       male 0       female 1       female 1       female 0       female 0       male 0       male 1       male 1       female 1       male 1       female 0       male 0       female 1       female 1       male 1       female 0       female 1       female 1       female 1       female 0       male 0       female 1       female 1       male 0       female 1       female 0       male 0       male 0       male 0       male 1       male 1       female 0       female 1       female 1       female 1       male 0       female 0       male 1       female 1       male 0       female 1       female 1       female 0       female 0       male 0       male 0       female 1       male 1       male 0       male 0       female 0       female 0       male 1       female 0       female 0       male 1       female 1       male 0       male 1       male 1       male 1       female 1       female 1       male 0       male 1       male 0       female 0       male 0       female 0       male 0       female 1       male 0       male 0       male 1       male 1       female 1       female 1       male 0       male 1       female 0       female 1       female 1       a) What is the lower bound of confidence interval for PF-PM? b) What is the higher bound of confidence interval for PF-PM?

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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Gender = gender of student    
Drink = drink preference; 0 = Coke Classic, 1 = Diet Coke
Gender Drink      
male 0      
female 1      
male 1      
female 1      
male 1      
male 1      
male 0      
female 1      
male 1      
male 1      
female 0      
female 1      
female 0      
male 0      
male 0      
female 1      
female 0      
female 1      
male 0      
male 1      
male 0      
male 1      
male 0      
female 1      
female 1      
female 0      
male 1      
male 0      
male 0      
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female 0      
male 1      
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female 1      
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female 1      
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male 0      
female 1      
male 1      
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male 0      
female 0      
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female 1      
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male 1      
male 1      
male 1      
female 1      
female 1      
male 0      
male 1      
male 0      
female 0      
male 0      
female 0      
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female 1      
male 0      
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male 1      
male 1      
female 1      
female 1      
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female 0      
female 1      
female 1      

a) What is the lower bound of confidence interval for PF-PM?

b) What is the higher bound of confidence interval for PF-PM?

Traditional mass marketing of a single product has given way to target marketing which focuses on satisfying the demands of a particular segment of a product's market.
To appeal to the various segments of the soft-drink-related market, the Coca Cola Company's products include Coca Cola Classic, Caffeine-Free Coke, Diet Coke, Caffeine-Free Diet Coke, Coke Zero, Cherry Coke, Diet Cherry Coke, Mello-Yello,
Sprite, Powerade, Powerade Zero, Smart Water, Vitamin Water, Minute-Maid Orange Juice, and others. Each of these Coca-Cola products meant to appeal to a different market segment when a consumer desires a non-alcoholic beverage.
As part of an effort to improve and refine their marketing program directed toward NC State students, the Coca Cola Company needs to estimate the difference between the proportion f female students and the proportion of male students that
prefer Diet Coke when the choice is between Diet Coke and Coca Cola Classic.
The Coca Cola Company selects a random sample of 530 NC State students and records the gender of each student along with each student's preference of Coco-Cola Classic or Diet Coke.
The results are in this Excel file.
Question 1. Use the data in the file to calculate a 98% confidence interval for PE-PM, where pe is the proportion of NC State female students that prefer Diet Coke over Coca-Cola Classic and py is the proportion of NC State male students that prefer Diet Coke over Coca-Cola Classic, NOTE: calculate the sample proportions to 3 decimal places.
Transcribed Image Text:Traditional mass marketing of a single product has given way to target marketing which focuses on satisfying the demands of a particular segment of a product's market. To appeal to the various segments of the soft-drink-related market, the Coca Cola Company's products include Coca Cola Classic, Caffeine-Free Coke, Diet Coke, Caffeine-Free Diet Coke, Coke Zero, Cherry Coke, Diet Cherry Coke, Mello-Yello, Sprite, Powerade, Powerade Zero, Smart Water, Vitamin Water, Minute-Maid Orange Juice, and others. Each of these Coca-Cola products meant to appeal to a different market segment when a consumer desires a non-alcoholic beverage. As part of an effort to improve and refine their marketing program directed toward NC State students, the Coca Cola Company needs to estimate the difference between the proportion f female students and the proportion of male students that prefer Diet Coke when the choice is between Diet Coke and Coca Cola Classic. The Coca Cola Company selects a random sample of 530 NC State students and records the gender of each student along with each student's preference of Coco-Cola Classic or Diet Coke. The results are in this Excel file. Question 1. Use the data in the file to calculate a 98% confidence interval for PE-PM, where pe is the proportion of NC State female students that prefer Diet Coke over Coca-Cola Classic and py is the proportion of NC State male students that prefer Diet Coke over Coca-Cola Classic, NOTE: calculate the sample proportions to 3 decimal places.
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