Question

2. Table 1 below shows data from a survey of a random sample of people in the United States in November of 2016 (the Current Population Survey). You arc asked to do a two-sided hypothcsis test to test the null hypothesis Put another way Wherc pv21 is the probability that a randomly chosen 21 year old votes and p.25 1s the proba- pv.21-pu ,25 bility that a randomly chosen 25 year old votes a) If you assume the null hypothesis is true, then 21 and 25 year olds both have the same probability of voting, which we will call p,. Find pu, an unbiased and efficient estimate of pu. Also estimate the probability of voting for each group separately (find pu.21 and pu,25) (b) Let d-pe,21 - po,25. Find the standard deviation of d assuming that Ho is true and both groups have a probability of voting equal to the pu you found in part (a) (c) Find your z-statistic (d) Find your p-value (remember this is a two-sided test) Table 1: Voting of 21 and 25 year olds in the November 2016 Current Population Survey ge Voted?Twenty-one Twenty-five 849 751 823 622 Yes

Answer 1

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