Question

According to a census​ bureau, 11.5​% of the population in a certain country changed addresses from 2008 to 2009. In​ 2010, 26 out of a random sample of 400 citizens of this country said they changed addresses during the previous year​ (in 2009). Complete parts a through c below.

a. Construct a 95​% confidence interval to estimate the actual proportion of people who changed addresses from 2009 to 2010. A 95​% confidence interval to estimate the actual proportion has a lower limit of BLANK and an upper limit of BLANK. ​(Round to three decimal places as​ needed.)

b. What is the margin of error for this​ sample?

​(Round to three decimal places as​ needed.)

c. Is there any evidence that this proportion has changed since 2009 based on this​ sample?

Because the confidence interval found in part a (does not include/includes) the reported proportion from​ 2009, this sample (does not provide/provides) evidence that this proportion has changed since then.

Answer 1

(c) Because the confidence interval found in part a does not include the reported proportion from​ 2009, this sample provides evidence that this proportion has changed since then.