Question

In the primaries leading up to the 2016 presidential​ election, a news website reported that the two politicians were in a​ "statistical tie" in the polls leading up to a state primary. Politician A led politician B​ 43% to​ 35% in the​ polls, with a margin of error of​ 5.2%. Explain what this this means to someone who may be unfamiliar with margin of error and confidence intervals.

The confidence interval for politician A is ___% , ___ % and the confidence interval for politician B is ___ % , ___ % . Since the intervals a.) overlap or b.) do not overlap, we a.) cannot or b.) can predict that politician A is favored over politician B to​ win, with this margin of error. ​(Round to one decimal place as​ needed.)

Answer 1

The confidence interval for politician A is =(43-5.2 =37.8 % to 43+5.2 =48.2%)

confidence interval for politician B is (35-5.2 =29.8% to 35+5.2 =40.2%)

Since the intervals a.) overlap   we cannot   predict that politician A is favored over politician B to​ win with this margin of error.