3.Gun control.An October 2011 Gallup Poll asked a sample of 1005 adults whether they thought there should or should not be a law that would ban the possession of handguns except by the police and other authorized persons. Only 261 of the respondents thought there should be such a law. Although the samples in national polls are not SRSs, they are similar enough that our method gives approximately correct confidence intervals

. (a)what is the population proportion is for this poll.(b) Find a 95% confidence interval for p.

(c) Gallup announced a margin of error of plus or minus four percentage points for this poll result. How well does your work in (b) agree with this margin of error?