A certain article indicates that in a sample of 1,000 dog owners, 640 said that they take more pictures of their dog than their significant others or friends. In addition, 410 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. 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. 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. 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. 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. 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) 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. 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. 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. 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. 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. 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. (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 ---Select--- the confidence level in part (a), so the z critical value for part (b) is --Select--- the z critical value for part (a). Second, the ---Select--- in part (b) is ---Select--- that in part (a). You may need to use the appropriate table in the appendix or technology to answer this question.