St. Norbert College in Green Bay conducts an annual survey of Wisconsin residents. In 2011 a random sample of 400 Wisconsin residents was selected and 25\% of respondents said the country is headed in the right direction. In a 2016 random sample of 664 residents, 28\% said they thought the country was headed in the right direction. Do these samples provide convincing evidence of a change in the proportion of adults who thought the country was headed in the right direction? 
选项为:A:No, because the 95\% confidence interval for the difference contains 3\%.  B:No, because the 95\% confdence interval for the difference contains 0\%.  C:No, because the 95\% confidence interval for the difference does not contain 0\%.  D:Yes, because the 95\% confdence interval for the difference does not contain 3\%.  E:Yes, because the 95\% confdence interval for the difference contains 3\%.  请回答其中一个选项.