The results of a CBS News Poll concerning views on same-sex marriage and gay rights given in Exercise 7.68 showed that of n = 1082 adults, 40% favored legal marriage, 30% favored civil unions, and 25% believed there should be no legal recognition. The poll reported a margin of error of plus or minus 3%.
a. Construct a 90% confidence interval for the proportion of adults who favor the "legal marriage" position.
b. Construct a 90% confidence interval for the proportion of adults who favor the "civil unions" position.
c. How did the researchers calculate the margin of error for this survey? Confirm that their margin of error is correct.