In October 2011, the Gallup Poll asked a sample of 1005 adults, "Are you in favor of the death penalty for a person convicted of murder?" The proportion who said they were in favor was 61%.

(a) How many of the 1005 people interviewed said they were in favor of the death penalty for a person convicted of murder?

(b) Gallup says that the margin of error for this poll is 4 percentage points. Explain to someone who knows no statistics what "margin of error 4 percentage points" means.

(c) Use the quick method to estimate the margin of error for statements about the population of all adults. Is your result close to the 4% margin of error announced by Gallup?