Leanne and her family plan to attend a symphony at an orchestra hall. Before booking the tickets, Leanne checked a website where
visitors rated the view of the symphony's soloist from their seating section. The data from the website is summarized in the table.
Section Number of reviewers who sat in the section Number of reviewers who rated the view as "perfect"
L1 90 57
L2 52 33
L3 75 47
U1 84 55
U2 43 27
U3 35 22
According to the data from the website, in which seating section should Leanne's family book the tickets if they want to maximize their chances of having a "perfect" view of the symphony's soloist?
Section Number of reviewers who sat in the section Number of reviewers who rated the view as "perfect"
L1 90 57
L2 52 33
L3 75 47
U1 84 55
U2 43 27
U3 35 22
According to the data from the website, in which seating section should Leanne's family book the tickets if they want to maximize their chances of having a "perfect" view of the symphony's soloist?
2 answers:
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Answer:
a) 0.172
b) 0.167
c) 0.1404
Step-by-step explanation:
Margin of error, E =
here,
p = probability of the event
n = sample size
a) n = 30
p = 10 ÷ 30 = 0.333
Therefore,
E =
= 2 × 0.0861
= 0.172
b) n = 30
p = 21 ÷ 30 = 0.7
Therefore,
E =
= 2 × 0.0836
= 0.167
c) n = 30
p = 22 ÷ 50 = 0.44
Therefore,
E =
= 2 × 0.0702
= 0.1404
Answer is in the pic above. Theorems used:
Exterior angle theorem
Inscribed angle theorem.
