An administrator at a large high school was interested in the types of school-sponsored extracurricular activities in which students participated: only academic clubs, only intramural sports clubs, both type of clubs, or neither. The responses from a survey of 500 students selected at random are summarized in the frequency table below, shown by class standing. 1st year 2nd year 3rd year 4th year Total Only Academics 30 40 60 60 190 Only Sports 35 30 20 20 105 Both 25 15 5 5 50 Neither 70 55 25 5 155 Total 160 140 110 90 500 If the school assumes extracurricular participation is independent of class standing, which of the following expressions could be used to calculate the expected number of respondents who do not participate in any academic or intramural activities during their 4th year at the school? (5)(155) (A) 500 (90)(155) (B) 500 @ @ (E) 90 155

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Author:Amos Gilat
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An administrator at a large high school was interested in the types of school-sponsored
extracurricular activities in which students participated: only academic clubs, only intramural sports
clubs, both type of clubs, or neither. The responses from a survey of 500 students selected at random
are summarized in the frequency table below, shown by class standing.
1st year
2nd year
3rd
year
4th
year
Total
Only Academics
30
40
60
60
190
Only Sports
35
30
20
20
105
Both
25
15
5
5
50
Neither
70
55
25
5
155
Total
160
140
110
90
500
If the school assumes extracurricular participation is independent of class standing, which of the
following expressions could be used to calculate the expected number of respondents who do not
participate in any academic or intramural activities during their 4th year at the school?
(5)(155)
(A)
500
(90)(155)
(B)
500
@
@
(E)
90
155
Transcribed Image Text:An administrator at a large high school was interested in the types of school-sponsored extracurricular activities in which students participated: only academic clubs, only intramural sports clubs, both type of clubs, or neither. The responses from a survey of 500 students selected at random are summarized in the frequency table below, shown by class standing. 1st year 2nd year 3rd year 4th year Total Only Academics 30 40 60 60 190 Only Sports 35 30 20 20 105 Both 25 15 5 5 50 Neither 70 55 25 5 155 Total 160 140 110 90 500 If the school assumes extracurricular participation is independent of class standing, which of the following expressions could be used to calculate the expected number of respondents who do not participate in any academic or intramural activities during their 4th year at the school? (5)(155) (A) 500 (90)(155) (B) 500 @ @ (E) 90 155
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