Question

(1 point) 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 = 410 voters have been randomly chosen, each has indicated what candidate they will vote for. You are to count the number, out of 410, who say they will vote for Candidate A. This count is measured by the random variable X. You find X = 148. (a) Find a 94% confidence interval for p, the proportion of all voters who will vote for Candidate A. Use at least four decimal points for your lower and upper bounds. 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 BE %. (Enter your answer to at least two decimals.)

Answer 1

Given, n = 410 х 148 Sample proportion 8 148 0.36098 410 94 , confidence interval of pis ( n ( p + Z* Ê (1-) 7 = z score for 94%. confidence 0 36098 I 1881 1.881 0.36098 (1-0-36098) 410 ( 0.36098 1+ 0044 62 O. 316 36 , O. 4056 . Lower Bound . 0.3164 Upper Bourd = 0.40.56 b ) The proportion of all voters in the riding that will vote for candidate A is some where between 31.64 % and 40.56%