In: Statistics and Probability
In a random sample of 60 voters, 34 reported they voted for Candidate A and 26 reported they voted for Candidate B. Let G denote a random variable equal 1 if the person voted for A and 0 if the person voted for B.
(a) Find the sample average, ¯ G, and sample variance, S^2 G, of
variable G.
(b) Does Candidate A have more than 50% of the popular vote?
Formulate and test the corresponding null and alternative
hypotheses to answer this question, interpret results.
(c) Are Candidates A and B virtually tied? Formulate and test the corresponding null and alternative hypotheses to answer this questions, interpret results.