A population has four members​ (called A,​ B, C, and​ D). You would like to select a random sample of n=​2, which you decide to do in the following​ way: Flip a​ coin; if it is​ heads, the sample will be items A and​ B; if it is​ tails, the sample will be items C and D. Although this is a random​ sample, it is not a simple random sample. Explain why.       Question content area bottom Part 1 Choose the correct answer below.     A. This is not a simple random sample because not every item has the same chance of selection as every other item.   B. This is not a simple random sample because the N items in the frame were not partitioned into n groups of k items.   C. This is not a simple random sample because the probability of selection for each individual item is unknown.   D. This is not a simple random sample because not every sample of n=2 has the same chance of selection as every other sample of that size.

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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A population has four members​ (called A,​ B, C, and​ D). You would like to select a random sample of
n=​2,
which you decide to do in the following​ way: Flip a​ coin; if it is​ heads, the sample will be items A and​ B; if it is​ tails, the sample will be items C and D. Although this is a random​ sample, it is not a simple random sample. Explain why.
 
 
 

Question content area bottom

Part 1
Choose the correct answer below.
 
 
A.
This is not a simple random sample because not every item has the same chance of selection as every other item.
 
B.
This is not a simple random sample because the N items in the frame were not partitioned into n groups of k items.
 
C.
This is not a simple random sample because the probability of selection for each individual item is unknown.
 
D.
This is not a simple random sample because not every sample of
n=2
has the same chance of selection as every other sample of that size.
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