4. 54% of the population of the Los Angeles metro area speak one of 184 languages other than English at home. Suppose that you pick people at random from the L.A. metro area. www.census.gov/newsroom/press-releases/2015/cb15-185.html a. For each sample size in the table, give the mean and SE of the sampling distribution of p. sample size, n mean standard error, SE 10 100 1000 b. What happens to the mean as the sample size increases? What happens to the SE as the sample size increases? c. Complete this summary sentence: If you take a random sample of 100 people from the L.A. metro area, the expected proportion who speak a language other than English at home is_ give or take. d. Would it be unusual to get 60% or more who speak a language other than English at home if the sample size is 10? if the sample size is 100? if the sample size is 1000? e. Suppose that you chose 1000 people at random from the L.A. metro area and 57% of them speak a language other than English at home. Find the error in this estimate.