9. In a random sample of 400 college students, each participant was asked two qu
ID: 2949499 • Letter: 9
Question
9. In a random sample of 400 college students, each participant was asked two questions: (1) Do you believe that Student Government has a "voice" in University affairs? (2) Do you plan to vote in the next Student Government elections? From this, the following data was obtained Student Government has a "Voice" in University Affairs Yes No Total 95 25 120 Plans to Vote Does Not Plan to Vote 120 160 280 Total 215 185 400 (a) What proportion of students who plan to vote in the next Student Government elections believe that Student Government has a "voice" in University affairs? (b) Of those who don't believe that Student Government has a voice, what proportion plans to vote in the next election?Explanation / Answer
Proportion of students who plan to vote in the next Student Government Elections believe that Student goverment has a "voice" in the universit affairs.
= Number of students who plan to vote in the next Student Government Elections and believe that Student goverment has a "voice" in the universit affairs / Total Number of Students
From the Given Table,
Student Goverment has a "Voice" in the university affairs
Number of students who plan to vote in the next Student Government Elections and believe that Student goverment has a "voice" in the universit affairs = 95
Total Number of Students = 400
Proportion of students who plan to vote in the next Student Government Elections believe that Student goverment has a "voice" in the universit affairs
= Number of students who plan to vote in the next Student Government Elections and believe that Student goverment has a "voice" in the universit affairs / Total Number of Students
= 95/400 = 0.2375
Proportion of students who plan to vote in the next Student Government Elections believe that Student goverment has a "voice" in the universit affairs = 0.2375
Of those who don't believe that Student Goverment has a voice, Proportion Plans to vote in the next election
= Number of students who don't belive that Students Govement has a voice and plan to vote in the next election / Number of students who don't belive that Students Govement has a voice
From the Given Table,
Student Goverment has a "Voice" in the university affairs
Number of students who don't belive that Students Govement has a voice and plan to vote in the next election = 25
Number of students who don't belive that Students Govement has a voice = 185
Of those who don't believe that Student Goverment has a voice, Proportion Plans to vote in the next election
= Number of students who don't belive that Students Govement has a voice and plan to vote in the next election / Number of students who don't belive that Students Govement has a voice
= 25/185 = 0.135135
Of those who don't believe that Student Goverment has a voice, Proportion Plans to vote in the next election = 0.135135
Yes No Total Plan To Vote 95 25 120 Does not Plan to vote 120 160 280 Total 215 185 400Related Questions
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