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please use R to answer these questions 1) (5) Ratio estimation and related methods can be used for early prediction of election returns. The data

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please use R to answer these questions

1) (5) Ratio estimation and related methods can be used for early prediction of election returns. The data below, posted on Bb, are from 10 Florida counties. For county i, Xi = number of votes cast for the Independent party candidate (Perot) in 1996 Xi = number of votes cast for the Independent party candidate (Buchanan) in 2000 Assume that this data is a simple random sample from the N = 67 Florida counties. You are also given that tx = 483,776 i.e. there were this many total votes cast for Perot in 1996 over all 67 counties. Make a scatter plot of the data and comment on whether ratio estimation seems appropriate here. Make sure that the origin (x=0, y=0) is included in your plot. Row 2000 Ind 2 3 Sessounts 1996 Ind Liberty 376 Broward 38964 Charlotte 7783 Orange 18191 Union 425 39 789 182 446 29 4 5 6 1970 841 7 Columbia Gilchrist Levy Pasco 8 9 10 1774 18011 819 89 29 67 570 65 Bradford 2) (10) Regardless of any concerns you may have with the model assumptions, estimate the population ratio R with error bound. Interpret this in plain language based on these results, what was Buchanan's Florida popularity in 2000 as compared to Perots in 1999 ? 3) (5) Estimate Ty with error bound. 4) (5) If we treated these ten counties as a pilot sample, use the information here to calculate a sample size n so that we may estimate Ty with an error bound of 1000 votes. 1) (5) Ratio estimation and related methods can be used for early prediction of election returns. The data below, posted on Bb, are from 10 Florida counties. For county i, Xi = number of votes cast for the Independent party candidate (Perot) in 1996 Xi = number of votes cast for the Independent party candidate (Buchanan) in 2000 Assume that this data is a simple random sample from the N = 67 Florida counties. You are also given that tx = 483,776 i.e. there were this many total votes cast for Perot in 1996 over all 67 counties. Make a scatter plot of the data and comment on whether ratio estimation seems appropriate here. Make sure that the origin (x=0, y=0) is included in your plot. Row 2000 Ind 2 3 Sessounts 1996 Ind Liberty 376 Broward 38964 Charlotte 7783 Orange 18191 Union 425 39 789 182 446 29 4 5 6 1970 841 7 Columbia Gilchrist Levy Pasco 8 9 10 1774 18011 819 89 29 67 570 65 Bradford 2) (10) Regardless of any concerns you may have with the model assumptions, estimate the population ratio R with error bound. Interpret this in plain language based on these results, what was Buchanan's Florida popularity in 2000 as compared to Perots in 1999 ? 3) (5) Estimate Ty with error bound. 4) (5) If we treated these ten counties as a pilot sample, use the information here to calculate a sample size n so that we may estimate Ty with an error bound of 1000 votes

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