Statistics Name _______________________ Election Results and Religion Homework #59 In the 2020 U.S. presidential election, the religious affiliation of a voter appeared to be a determining factor in...


StatisticsName _______________________


Election Results and ReligionHomework #59




In the 2020 U.S. presidential election, the religious affiliation of a voter appeared to be a determining factor in how he or she voted.





38.0% of the voting population self-classifies as Christian and voted for Trump.



30.5% of the voting population self-classifies as Christian and voted for Biden.



9.7% of the voting population self-classifies as non-Christian and voted for Trump.



21.8% of the voting population self-classifies as non-Christian and voted for Biden.




1.Put the statistics stated above into a Venn diagram.


(Hint: Do NOT make one oval represent Trump and one oval represent Biden.)




2.Enter the same set of statistics into a contingency chart.





Trump Biden Total





Christian





Non-Christian





Total100%




3.What percentage of the population voted for Trump? P(T) = ……………….




4.What percentage of the population voted for Biden? P(B) = ……………….




5.What percentage classifies themselves as Christian? P(C) = …………………..




6.What percentage classifies themselves as non-Christian? P(CC) = ………………..


In 7 - 10, you will determine conditional probabilities.




7.What is the probability that someone who identifies as Christian voted for Trump?



(In this exercise the “given” is that the voter is Christian, and the “condition” is that he/she voted for Trump.)





P(T | C) = ………………………………………………..




8.What is the probability that someone who voted for Trump identifies as Christian?



(In this exercise the “given” is that the voter chose Trump, and the “condition” is that he/she is Christian.)





P(C | T) = ………………………………………………..




9.What is the probability that someone who identifies as non-Christian voted for Trump?



(In this exercise the “given” is that the voter is non-Christian, and the “condition” is that he voted for Trump.)





P(T | Cc) = ………………………………………………..




10.What is the probability that someone who voted for Biden identifies as Christian?



(In this exercise the “given” is that the voter chose Biden, and the “condition” is that he/she is Christian.)





P(C | B) = ………………………………………………..



Apr 15, 2021
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