Question

A political scientist developed a theory that af-ter an election, supporters of the losing candi-date removed the bumper stickers from their cars faster than did supporters of the win-ning candidate. The day before a presidential election, he randomly selected parking lots, and at each selected parking lot, he randomly selected one car with a bumper sticker and recorded which candidate it supported. The day after the election, he followed the same procedure with a new sample of randomly selected parking lots. For both days, he then classified the bumper stickers as supporting the winning or losing candidate. Below are the results. Use hypothesis testing to see if a difference exists between how winners and losers behave.

	Winner	Loser
Before	34	32
After	28	10

Answer 1

We can use chi-square test of independence

Formulas

TS = 4.923 > critical value

hence we reject the null hypothesis

we conclude that there is evidence that variables are related