4.2.23 Question Help In a survey of 1015 adults, it was reported that almost 60%

Question

4.2.23 Question Help 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 Income Level Less than $50,000More than $50,000 220 290 510 190 315 505 Total 410 605 1015 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(fairlmore than $50,000)(Round to four decimal places as needed.)

Explanation / Answer

a)

p(tax code is fair | respondents earn less than 50000)

= p(tax code is fair AND respondents earn less than 50000) / p(  respondents earn less than 50000)

= 220 / 510

= 0.4314

b)

p(tax code is fair | respondents earn more than 50000)

= p(tax code is fair AND respondents earn more than 50000) / p(  respondents earn more than 50000)

= 190 / 505

= 0.3762

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