ECON 351 Lecture Notes - Lecture 3: Bernoulli Distribution, Bias Of An Estimator, Joule
13 Mar 2018
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Due on february 5, 2018 no later than 5:35pm. [82 points total] (1) [6 pts] let y be a bernoulli random variable with success probability pr (y = 1) = p, and let y1, . , yn be iid draws from this distribution. Let p denote the fraction of all likely voters who preferred the incumbent at the time of the survey, and let. Ha : p = 0. 5 at the 5% signi cance level. (3) [8 pts] let ya and yb denote bernoulli random variables from two different populations, denoted a and b. Suppose that e(ya) = pa and e(yb) = pb. A random sample of size na is chosen from population a, with sample average denoted pa, and a random sample of size nb is chosen from population b, with sample average denoted pb. Show that a 95% con dence interval for the quantity (pa pb) is given by ( pa pb) 1. 96 pa(1 pa) na.
