confidence interval

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Based on past data, the producers of Ice Mountain bottled water knew that the proportion of people who preferred Ice Mountain to tap water was 0.783. To see how consumer perception of their product changed, they decided to conduct a survey. Of the 59 respondents, 47 indicated that they preferred Ice Mountain to the tap water in their homes. The 99% confidence interval for this proportion is ( 0.6616 , 0.9316 ). What is the best conclusion of those listed below?
 

Question 6 options:

 

1) 

The confidence interval does not provide enough information to form a conclusion.
 

2) 

We can claim that the proportion of consumers who prefer Ice Mountain to their tap water is larger than 0.783.
 

3) 

The proportion of consumers who prefer Ice Mountain is 0.783 with 99% confidence.
 

4) 

We can not claim that the proportion of consumers who prefer Ice Mountain to their tap water differs from 0.783.
 

5) 

We can claim that the proportion of consumers who prefer Ice Mountain to their tap water is smaller than 0.783.
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