A certain article indicates that in a sample of 1,000 dog owners, 660 said that they take more pictures of their dog than of their significant others or friends, and 470 said that they are more likely to complain to their dog than to a friend. Suppose that it is reasonable to consider this sample as representative of the population of dog owners. (a) Construct a 90% confidence interval for the proportion of dog owners who take more pictures of their dog than of their significant others or friends. (Use a table or technology. Round your answers to three decimal places.) Interpret the interval. O We are 90% confident that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls directly in the middle of this interval. There is a 90% chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. O We are 90% confident that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. O We are 90% confident that the mean number of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. O There is a 90% chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls directly in the middle of this interval. (b) Construct a 95% confidence interval for the proportion of dog owners who are more likely to complain to their dog than to a friend. (Use a table or technology. Round your answers to three decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A certain article indicates that in a sample of 1,000 dog owners, 660 said that they take more pictures of their dog than of their significant others or
friends, and 470 said that they are more likely to complain to their dog than to a friend. Suppose that it is reasonable to consider this sample as
representative of the population of dog owners.
(a) Construct a 90% confidence interval for the proportion of dog owners who take more pictures of their dog than of their significant others or friends.
(Use a table or technology. Round your answers to three decimal places.)
Interpret the interval.
O We are 90% confident that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends
falls directly in the middle of this interval.
There is a 90% chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends
falls within this interval.
O We are 90% confident that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends
falls within this interval.
O We are 90% confident that the mean number of dog owners who take more pictures of their dog than of their significant others or friends
falls within this interval.
O There is a 90% chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends
falls directly in the middle of this interval.
(b)
Construct a 95% confidence interval for the proportion of dog owners who are more likely to complain to their dog than to a friend. (Use a table or
technology. Round your answers to three decimal places.)
Transcribed Image Text:A certain article indicates that in a sample of 1,000 dog owners, 660 said that they take more pictures of their dog than of their significant others or friends, and 470 said that they are more likely to complain to their dog than to a friend. Suppose that it is reasonable to consider this sample as representative of the population of dog owners. (a) Construct a 90% confidence interval for the proportion of dog owners who take more pictures of their dog than of their significant others or friends. (Use a table or technology. Round your answers to three decimal places.) Interpret the interval. O We are 90% confident that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls directly in the middle of this interval. There is a 90% chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. O We are 90% confident that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. O We are 90% confident that the mean number of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. O There is a 90% chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls directly in the middle of this interval. (b) Construct a 95% confidence interval for the proportion of dog owners who are more likely to complain to their dog than to a friend. (Use a table or technology. Round your answers to three decimal places.)
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