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Determine the absolute and relative unfairness of the given apportionment State A with a population of 254,000 and of 540,000 10representatives or state B with a po...

Question

Determine the absolute and relative unfairness of the given apportionment State A with a population of 254,000 and of 540,000 10representatives or state B with a population and 15 representatives. A What is the absolute unfairness = of this apportionment? Select ]B What is the relative unfairness of this apportionment? (Round to 3 decimal places) Select ]

Determine the absolute and relative unfairness of the given apportionment State A with a population of 254,000 and of 540,000 10representatives or state B with a population and 15 representatives. A What is the absolute unfairness = of this apportionment? Select ] B What is the relative unfairness of this apportionment? (Round to 3 decimal places) Select ]



Answers

Use the technology of your choice to solve the specified problems. The National Governors Association publishes information on U.S. governors in Governors' Political Afiliations \& Terms of Office. Based on that document, we obtained the data on region of residence and political party given on the WeissStats CD. a. Group the bivariate data for these two variables into a contingency table. b. Determine the conditional distribution of region within each party and the marginal distribution of region. c. Determine the conditional distribution of party within each region and the marginal distribution of party. d. Are the variables "region" and "party" for U.S. governors associated? Explain your answer.

All right. So we're looking at independence, democrats and republicans and we're classing them into three different classes. Um This is the variables are, sorry, the data that is grouped into this table here. Um we got zero and two and three for the independence. Not very many independence, but I guess we added them in there anyway. The kind of outliers, but not actually outliers in this sense of the word of the graph, but they're definitely a minority in this case. So what we're looking at here are totals for the types and then our totals on this side for the political beliefs, Political standings, whatever you wanna call it. So what we'll do to find out our marginal and distribution probabilities, sorry, the conditional distribution and the marginal distribution of party within each class, That's going to be our two divided by two. So party we got our party over here and our party sums over there. So we do is divide this guy by that guy, and that's how we get these rows right here. Mm Now for our marginal distributions it looks like I forgot to do them here, but I will get them. Oh they're on the bottom, whoops. All we have to do is divide our these guys down here by our sample size to get these guys right there and then we're going to repeat the same process, but in reverse. So to get these numbers over here, um actually I'm gonna size this down is this thing is too long. There we go. Uh we're going to divide this two by the column total. And that is how we're gonna get six, and then we'll repeat that for the other datas here. And then finally for the marginal distributions, we get those by dividing the totals on this side the totals for the political beliefs by our sample size right there. And that's how we get that. Notice that none of these numbers in these two tables are identical. Therefore, we can conclude that there is an association between being your political belief and 12 and three are class, so to speak.


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