The article “Most Dog Owners Take More Pictures of Their Pet Than Their Spouse” (August 22,2016, news.fastcompany.com/most-dog-owners  -take-more-pictures-of their-pet-than-their -spouse-4017458, retrieved May 6, 2017) indicates that in a sample of 1000 dog owners, 650 said that they take more pictures of their dog than their significant others or friends. In addition, 460 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 and interpret a 90% confidence interval for the proportion of dog owners who take more pictures of their dog than of their significant others or friends.

b. Construct and interpret a 95% confidence interval for the proportion of dog owners who are more likely to complain to their dog than to a friend.

c. Give two reasons why the confidence interval in Part (b) is wider than the interval in Part (a).