Question

STATISTICS HELP

t random, is the event that he or she is a Demacrat independent The table below summarizes results from a survey that asked about political party affiliation and sel-described political orientation. (Dem means Demoerat, and Rep means Republican.) If a person is selected f the event that he or she is iberal? Dem Rep Other Total 728 647 1919 Moderate 258 122 336 330 185 684 Conservative Total 132 501 734 Choose the correct answar balow O A. The event that he or she is a Democrat is independent of the event that he or she is liberal, because the probabilities are equal O B. The evant that he or she is a Damocrat is not independent of the event that he or she is liberal, because the probabilities O C. The event that he or she is O D. The event that he or she iss a Democrat is independent of the event that he ar she is liberal, because the probabilitins are 6qual Democrat not independent of the event that he c she is liberal, because the probabilities not equal. t equal

Answer 1

P(dem) = 734/1919=0.382

P(liberal) = 546/1919=0.285

P(dem and lberal) = 334/1919 = 0.174

P(liberal) * P(dem) = 0.382*0.285 = 0.109

since, P(liberal and dem) $\neq$ P(liberal)*P(dem)

The event that he or she is a democrat is not independent of the event that he or she is liberal, because the probabilities are not equal.