A = selected adult is a Not High School Graduate B= selected adult obtains news primarily from internet When selecting an adult at random from the sample of 2,500 adults, are the events “ is not high school graduate” or “obtains news primarily from the internet” independent? Justify your answer

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A = selected adult is a Not High School Graduate

B= selected adult obtains news primarily from internet

  1. When selecting an adult at random from the sample of 2,500 adults, are the events “ is not high school graduate” or “obtains news primarily from the internet” independent? Justify your answer.
What's the News?
An advertising agency in a large city is conducting a survey of adults to investigate whether there is an
association between highest level of educational achievement and primary source for news. The company
takes a random sample of 2,500 adults in the city. The results are shown in the table below.
Primary Source
for News
Newspapers
Local television
Cable television
Internet
None
Total
HIGHEST LEVEL OF EDUCATIONAL ACHIEVEMENT
Not High
High School Graduate
But Not College
School
Graduate
49
90
113
41
77
370
Graduate
205
170
496
401
165
1,437
College Graduate
188
75
147
245
38
693
Total
442
335
756
687
280
2,500
Transcribed Image Text:What's the News? An advertising agency in a large city is conducting a survey of adults to investigate whether there is an association between highest level of educational achievement and primary source for news. The company takes a random sample of 2,500 adults in the city. The results are shown in the table below. Primary Source for News Newspapers Local television Cable television Internet None Total HIGHEST LEVEL OF EDUCATIONAL ACHIEVEMENT Not High High School Graduate But Not College School Graduate 49 90 113 41 77 370 Graduate 205 170 496 401 165 1,437 College Graduate 188 75 147 245 38 693 Total 442 335 756 687 280 2,500
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Can I also use conditional probability in this problem to check whether the two events are independent? P(AIB)=P(A)?  or P(BIA)=P(B)? If yes, how? Thanks!

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