Question

A poll, with a margin of error of plus or minus 3 percentage points and a confidence level of 95 percent, asked 1,000 voters in Maine if they considered themselves a Republican, a Democrat, or an independent. If 48 percent of respondents indicated that they considered themselves independent, what is the percentage of independents among voters in Maine?

Answer 1

between 45% and 51%

Explanation:

Data provided:

Margin of error = plus or minus 3%

Confidence level = 95%

Number of voters asked = 1,000

Respondents considered themselves independent = 48%

Now,

adjusting the margin of error in the result

we get

the range as:

lowest value of range percentage of independents among voters in Maine

= 48% - 3%

= 45%

and,

Highest value of range percentage of independents among voters in Maine

= 48% + 3%

= 51%

Hence,

the percentage of independents among voters in Maine are between 45% and 51%