Question

Margin of Error. The following summaries of statistical studies give a sample statisticand a margin of error. Find the confidence interval and answer any additional questions.47. A poll is conducted the day before an election for state senator. There are two candidatesrunning. The poll shows that 53% of the voters surveyed favor the Republican candidate,with a margin of error of 2.5 percentage points. Should the Republican be confident thatshe'll have a victory party? Why or why not?

Answer 1

The republican candidate has 53% of the votes with a margin of error of 2.5%, this means the real value of its votes(let's call it as x) should be inside the following range

[tex]\begin{gathered} 53-2.5Since the lower possible value is 50.5%, and it is above 50%, the republican candidate can be sure she'll have a victory party.