Homework SourseIn a survey of 1015 aduts it was reported that almost 60 of
In a survey of 1015 aduts, it was reported that almost 60% of all people said the tax code is unfair, wheras slightly more than 60% of those making more than $50,000 viewed the code as unfair. Suppose that the contingency table posted represents the specific breakdown of responses. a. Given that a respondent earns less than $50K what is the probability that he or she said that the tax code is fair? Given the a respondent earns more than 50K what is the probability that he or she said the tak code is fair? c. Is income level independent ofattitude about whether the tax code is fair?
| less than 50K | more than 50K | total | |
| fair | 230 | 200 | 430 |
| unfair | 280 | 305 | 585 |
| total | 510 | 505 | 1015 |
Solution
Given that a respondent earns less than $50K what is the probability that he or she said that the tax code is fair?
Probability = 230 / 510 = 0.451
Given the a respondent earns more than 50K what is the probability that he or she said the tak code is fair?
Probability = 200 / 505 = 0.396
Is income level independent ofattitude about whether the tax code is fair?
no because they have a relationship as you can see in the table
