Question

A Pew Research survey asked 2,373 randomly sampled registered voters their political affiliation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.

What percent of voters are Independent but not swing voters?

Answer 1

There are 24% voters who are independent but not swing.

Explanation:

A Research survey was conducted where 2,373 randomly selected voters were asked about their political affiliations.

Let I represents Independent voters and S represents swing voters.

35% of respondents identified as Independent so that means

P(I) = 0.35

23% of respondents identified as swing voters so that means

P(S) = 0.23

11% of respondents identified as both so that means

P(S ∩ I) = 0.11

What percent of voters are Independent but not swing voters?

Independent but not swing voters = P(I) - P(S ∩ I)

Independent but not swing voters = 0.35 - 0.11

Independent but not swing voters = 0.24

Independent but not swing voters = 24%

Therefore, there are 24% voters who are independent but not swing.