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Part 1: 25 points Questions in part 1 do not require using R, but you can use R if you choose to do so. You

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Part 1: 25 points Questions in part 1 do not require using R, but you can use R if you choose to do so. You are also allowed to use a calculator for any of the questions in part 1. Background You're working as a consultant for a candidate for the United States Senate in the upcoming midterm elections. The candidate is running as an Independent against a Democratic incumbent and a Republican challenger With just a few days before the election , the candidate has asked you to analyse the latest polling data . The dataset consists of support for your candidate among likely voters who are either registered Democrats or registered Republicans Dataset For each group, you have a poll of 1000 voters in each of the 33 counties in the state. The dataset shows how many respondents from each group support your candidate. Registered party Number of voters who support the candidate (out of I000) lemocra IN\": I, I , , II, :1 , I 1IH"" , , I, I, I: , 337, 464, 508, 325, 521, 533 , 533, 237, 476, 312, 493, 411, 464, 192, 689 , 398 'epu can , , :1, A ,II, I, , I, , I , 'I, I ,II, I I , 346 , 285 , 371 , 387, 333, 431 , 349, 307, 294 , 374, 254, 366 , 416, 274, 343 , 415 la. Descriptive statistics - Calculate the mean and standard deviation of registered Democrats who support your candidate - Calculate the mean and standard deviation of registered Republicans who support your candidate - Present your answer in a formatted table as shown below: Registered D e m o c r at s Registered Republicans 1b. Difference in means and confidence interval Use the data above to complete the following calculations. For each question you should ShOW how you arrived at your answer _ (Le. Calculating the answer in R and reporting it here is not sufficient to get full marks ) - Calculate the difference in means between registered Democrats and registered Republicans - Calculate the standard error of the difference in means . - Calculate the 95% and 99% confidence intervals of the difference in means (you can use the normal distribution for this question )

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