The table below summarizes results from a survey that asked about political part

Question

The table below summarizes results from a survey that asked about political party affiliation and self-described political orientation. (Dem means Democrat, and Rep means Republican.) If a person is selected at random, is the event that he or she is other independent of the event that he or she is liberal? Dem | Rep | Other | Total | 329 293 127 322742 110 313 184607 732 4626731867 167 518 Liberal Moderate Choose the correct answer below. 0 A. B. ° C. 0 D. The event that he or she is other is independent of the event that he or she is liberal, because the probabilities The event that he or she is other is independent of the event that he or she is liberal, because the probabilities are not equal. The event that he or she is other is not independent of the event that he or she is liberal, because the probabilities are equal. The event that he or she is other is not independent of the event that he or she is liberal, because the probabilities are not equal.

Explanation / Answer

P(Liberal | Other) = 167/673 = 0.2481

P(Liberal) = 518/1867 = 0.2775

Since both these probabilities are not equal, these two events are not independent.

Option D is correct.

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