CAFE Voting Analysis
This question is concerned with a vote on a bill in the US senate on the Corporate Average Fuel Economy
(CAFE) standard in 2002. The bill was widely held to be beneficial to automotive manufacturers, as a vote of NO would have forced them to increase fuel economy across their fleets. It is of interest to determine whether a senator’s voting decision was related on their political ideology, and/or the amount of money contributed to them by individuals or political action committees associated with the automotive industry. The variables are as follows:
• party: indicating the political party of a senator; either D for Democrat or R for Republican.
• contributions: the total lifetime dollar amount contributed to a senator by the automotive industry, rounded to the nearest ten thousand dollars, and given in tens of thousands of dollars (e.g., a value of 2 indicates $20,000 worth of contributions).
• yes: the number of senators who voted YES on the bill for a particular combination of party and contributions.
• no: the number of senators who voted NO on the bill for a particular combination of party and contributions.
The data are as follows:
party
contributions
yes
no
D
0
8
21
D
1
2
7
D
2
7
2
D
3
2
1
R
0
3
3
R
1
17
1
R
2
13
1
R
3
10
1
We are interested in determining if the amount of contributions from the automotive industry is related to the probability a senator votes YES on the bill. We are also interested to determine if senators from one party are more likely to vote YES on the bill than the other. Also, does the effect of contributions depend on the political party? Conduct a full analysis, and include Methods and Assumption Checks along with an Executive Summary.
In your report, add to the plot code that is provided (to plot contributions vs proportion voting YES) to also show the fit of your chosen model.
