Homework 2 - 2.7

2.7 Swing voters: A 2012 Pew Research survey asked 2373 randomly sampled registered voters their politicial affilation (R, D, or I) and whether or not they identity as swing voters. 35% of respondents identified as Independent, 23% as swing voters, and 11% identified as both

1. Are being Independent and being a swing voter disjoint, e.g. mutally exclusive?

No, because 11% identify as both Independent and swing voters. They are not mutually exclusive.

2. Instead of a venn Diagram, I used a table to show the variable relationship

swing_voters <- matrix(c(0.12, 0.11,0.23,0.53,0.24,0.77,0.65,0.35,1.00), byrow = TRUE, nrow = 3)
row.names(swing_voters) <- c("Swing Voters", "Not Swing Voters", "Total")
colnames(swing_voters) <- c("Rep & Dems", "Independent", "Total")
swing_voters

##                  Rep & Dems Independent Total
## Swing Voters           0.12        0.11  0.23
## Not Swing Voters       0.53        0.24  0.77
## Total                  0.65        0.35  1.00

grid.newpage()
venn.plot <- draw.pairwise.venn(area1      = 35,
                                area2      = 23,
                                cross.area = 11,
                                category   = c("Indepedent", "Swing Voters"),fill = c("blue", "red"))

3. What % of voters are Independent but not swing voters?

Using the table, we can see that 24% of the voters are Independent and not swing voters

4. What percent of voters are Independent OR swing voters? Total Independent voters are 35% plus total swing voters 23% minus both 11% = 47%

.35 + .23 - .11

## [1] 0.47

5. Is the event that someone is a swing voter independent of the event that someone is a political independent? No because swing voters have independent voters as inclusive of the total. It is a dependent variable.