Income Level In a survey of 1015 adults, it was reported that almost 60% of all
ID: 2922667 • Letter: I
Question
Income Level In a survey of 1015 adults, it was reported that almost 60% of all people said the tax code is unfair, whereas slightly more than 60% of those making more than $50,000 viewed the code as unfair. Suppose that the contingency table to the right represents the specific breakdown of responses. Complete parts a through c Less than $50,000 220 290 510 More than $50,000 190 315 505 Total 410 605 1015 Fair Unfair Total a. Given that a respondent earns less than $50,000, what is the probability that he or she said that the tax code is fair? Pfarless than $50,000) = .4314 (Round to four decimal places as needed.) b. Given that a respondent earns more than $50,000, what is the probability that he or she said that the tax code is fair? P(fair!more than $50,000)-| | (Round to four decimal places as needed.)Explanation / Answer
a)
p(tax order is fair | Income less than 5000)
= n(tax order is fair AND Income less than 5000) / n(Income less than 5000)
= 220/510
= 0.4314
b)
p(tax order is fair | Income more than 5000)
= n(tax order is fair AND Income more than 5000) / n(Income more than 5000)
= 190 / 505
= 0.3762