Minnesota had the highest turnout rate of any state for the 2016 presidential election (United States Election Project website). Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 663 of 884 registered voters from rural Minnesota voted in the 2016 presidential election, while 414 out of 575 registered voters from urban Minnesota voted. 

a. Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2016 presidential election. 

b. What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election? 

c. What is the proportion of sampled registered voters in urban Minnesota that voted in the 2016 presidential election? 

d. At α = .05, test the political analysts’ hypothesis. What is the p-value, and what conclusion do you draw from your results?