The following binary data represent the students taking a statistics course in a major university, where "1" is for students who are business majors and "0" for other majors. 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1   28 If we take repeated samples of size n = 8 from this population of the students, the variance of sample proportions would be ______.                 a 0.0174                 b 0.0164                 c 0.0155                 d 0.0146

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following binary data represent the students taking a statistics course in a major university, where "1" is for students who are business majors and "0" for other majors.
1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 0 1 1 1
1 1 1 1 1 0 1 1 1 1
1 0 0 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1
1 0 1 0 0 1 1 1 1 1
1 1 1 1 1 1 1 1 0 1
0 1 0 1 1 1 1 1 1 1
1 1 1 1 1 0 1 1 1 0
1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 0 1 1 1 1
1 1 1 1 1 1 1 1 1 1
1 0 1 1 1 1 1 1 0 1
1 1 1 1 1 1 1 1 1 0
1 1 1 1 1 1 1 0 1 1
1 0 1 0 0 1 1 1 1 1
1 1 1 0 1 1 1 1 1 1
1 1 1 0 1 1 1 0 1 1
1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1
0 1 1 1 1 1 1 0 1 1
1 1 0 0 0 0 1 1 1 1
1 1 1 1 0 0 1 1 1 0
1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 0 1 1 0 1
1 1 1 1 1 0 1 1 1 1
1 0 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 0 1 1
1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 0 1 1 1 1
1 1 1 0 0 1 1 1 1 1
1 1 1 1 1 1 1 0 1 1
1 1 1 1 1 0 1 1 1 1
1 0 0 0 1 0 1 1 1 0
1 1 1 0 1 1 1 1 0 1
1 1 1 0 1 1 0 1 1 1
1 1 1 1 0 1 1 1 1 1
1 1 1 1 1 1 1 0 1 1
1 1 1 1 1 1 1 1 0 1

 

28 If we take repeated samples of size n = 8 from this population of the students, the variance of sample proportions would be ______.                
a 0.0174                
b 0.0164                
c 0.0155                
d 0.0146                
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