A certain article indicates that in a sample of 1,000 dog owners, 680 said that they take more pictures of their dog than their significant others or friends. In addition, 440 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. (Round your answers to three decimal places.) , Interpret the interval. a.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. b.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. c.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. d.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. e.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. (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. (Round your answers to three decimal places.) , Interpret the interval. a.We are 95% confident that the mean number of dog owners who are more likely to complain to their dog than to a friend falls within this interval. b.There is a 95% chance that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls directly in the middle of this interval. c.We are 95% confident that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls within this interval. d.We are 95% confident that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls directly in the middle of this interval. e.There is a 95% chance that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls within this interval. (c) Give two reasons why the confidence interval in part (b) is wider than the interval in part (a). First, the confidence level in part (b) is lower than or higher than the confidence level in part (a), so the z critical value for part (b) is larger than or smaller than the z critical value for part (a). Second, the standard error, sample size or sample proportion in part (b) is smaller than or larger than that in part (a).
A certain article indicates that in a sample of 1,000 dog owners, 680 said that they take more pictures of their dog than their significant others or friends. In addition, 440 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. (Round your answers to three decimal places.) , Interpret the interval. a.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. b.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. c.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. d.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. e.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. (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. (Round your answers to three decimal places.) , Interpret the interval. a.We are 95% confident that the mean number of dog owners who are more likely to complain to their dog than to a friend falls within this interval. b.There is a 95% chance that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls directly in the middle of this interval. c.We are 95% confident that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls within this interval. d.We are 95% confident that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls directly in the middle of this interval. e.There is a 95% chance that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls within this interval. (c) Give two reasons why the confidence interval in part (b) is wider than the interval in part (a). First, the confidence level in part (b) is lower than or higher than the confidence level in part (a), so the z critical value for part (b) is larger than or smaller than the z critical value for part (a). Second, the standard error, sample size or sample proportion in part (b) is smaller than or larger than that in part (a).
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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A certain article indicates that in a sample of 1,000 dog owners, 680 said that they take more pictures of their dog than their significant others or friends. In addition, 440 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. (Round your answers to three decimal places.)
Interpret the interval.
a.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.
b.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.
c.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.
d.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.
e.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.
(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. (Round your answers to three decimal places.)
Interpret the interval.
a.We are 95% confident that the mean number of dog owners who are more likely to complain to their dog than to a friend falls within this interval.
b.There is a 95% chance that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls directly in the middle of this interval.
c.We are 95% confident that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls within this interval.
d.We are 95% confident that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls directly in the middle of this interval.
e.There is a 95% chance that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls within this interval.
(c)
Give two reasons why the confidence interval in part (b) is wider than the interval in part (a).
First, the confidence level in part (b) is lower than or higher than the confidence level in part (a), so the z critical value for part (b) is larger than or smaller than the z critical value for part (a). Second, the standard error, sample size or sample proportion in part (b) is smaller than or larger than that in part (a).
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