7. [I4 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE AN OTHER A certain article indicates that in a sample of 1,000 dog owners, 680 said that they take more pictures of their dog than of their signicant others or friends, and 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% condence 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. 0 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 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 signicant 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 signicant others or friends falls directly in the middle of this interval. 0 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. (b) Construct a 95% condence 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.) ( l) Interpret the interval. 0 We are 95% condent that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls within this interval. 0 We are 95% condent 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. 0 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. 0 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. O 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 condence level in part (b) is l --Select-- v the condence level in part (a), so the 1 critical value for part (b) is l --Seiect-- v the 1 critical value for part (a). Second, the ---Select-- . Viewing Saved Work Revert to Last Response Submit Answer v in part (b) is l---Seieci--- v that in part (a)