A poll of n voters is to be taken in an attempt to predict the outcome...

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A poll of n voters is to be taken in an attempt to predict the outcome of a by-election in a certain riding. Specifically, you are interested in the proportion of voters that will vote for a certain candidate, Candidate A. n = 445 voters have been randomly chosen, each has indicated what candidate they will vote for. You are to count the number, out of 445, who say they will vote for Candidate A. This count is measured by the random variable X. You find X = 274. (a) Find a 94% confidence interval for p, the proportion of all voters who will vote for Candidate A. Use the Z distribution to create your confidence interval. Use at least four decimal points for your lower and upper bounds. At avoid rounding errors you should use R-Stuido and not Tables. Lower Bound= Upper Bound= (b) Interpret the meaning of the interval you found in part (a). The proportion of all voters in the riding that will vote for Candidate A is somewhere between Ⓒ and %. (Enter your answer to at least two decimals.) (c) Find a 94% confidence interval for for p, the proportion of all voters who will vote for Candidate A, by Bootstrapping 1000 samples. Use the seed 2577 to ensure that R-Studio "randomly" samples the same "random" samples as this question will expect. You can do this by including the code, you can copy it into your R-Studio to bootstrap your samples. RNGkind(sample.kind="Rejection"); set.seed (2577); B=do(1000) mean(resample(c(rep(1,274), rep(0,445-274)), 445)); Find a 94% confidence interval Use at least four decimal points for your lower and upper bounds. Lower Bound= Upper Bound= A poll of n voters is to be taken in an attempt to predict the outcome of a by-election in a certain riding. Specifically, you are interested in the proportion of voters that will vote for a certain candidate, Candidate A. n = 445 voters have been randomly chosen, each has indicated what candidate they will vote for. You are to count the number, out of 445, who say they will vote for Candidate A. This count is measured by the random variable X. You find X = 274. (a) Find a 94% confidence interval for p, the proportion of all voters who will vote for Candidate A. Use the Z distribution to create your confidence interval. Use at least four decimal points for your lower and upper bounds. At avoid rounding errors you should use R-Stuido and not Tables. Lower Bound= Upper Bound= (b) Interpret the meaning of the interval you found in part (a). The proportion of all voters in the riding that will vote for Candidate A is somewhere between Ⓒ and %. (Enter your answer to at least two decimals.) (c) Find a 94% confidence interval for for p, the proportion of all voters who will vote for Candidate A, by Bootstrapping 1000 samples. Use the seed 2577 to ensure that R-Studio "randomly" samples the same "random" samples as this question will expect. You can do this by including the code, you can copy it into your R-Studio to bootstrap your samples. RNGkind(sample.kind="Rejection"); set.seed (2577); B=do(1000) mean(resample(c(rep(1,274), rep(0,445-274)), 445)); Find a 94% confidence interval Use at least four decimal points for your lower and upper bounds. Lower Bound= Upper Bound=

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a To find a 94 confidence interval for the proportion of voters who will vote for Candidate A using ... View the full answer