In a study of factors that influence brand switching by a certain demographic, the following factors were identified as being significant as judged by the responses of the 439 participants in the survey.1:Better price2:Friend's recommendation3:Seeing others use it4:Interesting packaging5:Buzz—people talking about the brand6:An advertisement7:Press stories8:Entertainer/sports celebrity endorsementThe results of the survey follow.Factor12345678Respondents (%)68.660.222.820.616.616.614.76.9Let A denote the set of factors that had a response greater than 20%, let B denote the set of factors that had a response between 15% and 25%, and let C denote the set of factors that had a response less than 25%. Find the following.(a) n(A), n(B), n(C)n(A) = n(B) = n(C) = (b) n(A ∩ B)(c) n(Ac ∩ C)(d) n(A ∩ Bc)(e) n(Ac ∩ Cc)(f) n[(A ∪ B) ∩ C]

The given results of the survey, Factor 1 2 3 4 5 6 7 8 Respondents(%) 68.6 60.2 22.8 20.6 16.6…

Answered: In a study of factors that influence…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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In a study of factors that influence brand switching by a certain demographic, the following factors were identified as being significant as judged by the responses of the 439 participants in the survey.

1:	Better price
2:	Friend's recommendation
3:	Seeing others use it
4:	Interesting packaging
5:	Buzz—people talking about the brand
6:	An advertisement
7:	Press stories
8:	Entertainer/sports celebrity endorsement

The results of the survey follow.

Factor	1	2	3	4	5	6	7	8
Respondents (%)	68.6	60.2	22.8	20.6	16.6	16.6	14.7	6.9

Let A denote the set of factors that had a response greater than 20%, let B denote the set of factors that had a response between 15% and 25%, and let C denote the set of factors that had a response less than 25%. Find the following.

(a)

n(A), n(B), n(C)