In a survey of 1015 adults, it was reported that almost 60% of all people said t

Question

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 Income Level Less than $50,000 220 290 510 More than $50,000 190 315 505 Total 410 605 1015 through c 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? Pfairless than $50,000,- (Round to four decimal places as needed.)

Explanation / Answer

P(earns less than 50k)=510/1015 (from the column that has less thn 50k divided by total)

P(fair)=410/1015 (top row)

Also, P(earns less than 50k AND is fair)= 220/1015 (from the intersection of the two)

We need to find P(fair | earns less than 50k) =P(earns less than 50k AND is fair)/ P(earns less than 50k)

=(220/1015)/(510/1015)=220/510 =0.4314

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