Perform a difference of means test between clinton and gender, and discuss what you find.
Using the 2016 ANES, replicate the analysis with feelings towards Trump using feelings towards Hillary
Clinton. The variable for Clinton is V161086 and use the same 8 predictor variables.
t.test(clinton~gender, data=nes)
Welch Two Sample t-test
data: clinton by gender
t = -6.9894, df = 4143.3, p-value = 3.203e-12
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-9.409579 -5.287143
sample estimates:
mean in group 0. Male mean in group 1. Female
38.17895 45.52731
Since p .05, we conclude that there is a statistically significant difference between men and women’s feelings towards Clinton. Further, we see that men’s mean rating of Clinton is 38.18, while women’s mean rating is 45.53. Let’s see whether men’s feelings toward Clinton are significantly smaller than women’s feelings toward
Clinton by adding the option alternative="less".
t.test(clinton~gender, alternative="less", data=nes)
Welch Two Sample t-test
data: clinton by gender
t = -6.9894, df = 4143.3, p-value = 1.601e-12
alternative hypothesis: true difference in means is less than 0
95 percent confidence interval:
-Inf -5.618651
sample estimates:
mean in group 0. Male mean in group 1. Female
38.17895 45.52731
Based on the p-value, we do find that men’s ratings of Clinton are significantly smaller than women’s ratings.
Next, let’s see whether these differences hold in a non-parametric environment.
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