anonymous
  • anonymous
Imagine a population of N = 4 individuals, A, B, C and D. Individuals A and B are planning to vote in favor of a controversial referendum, whereas individuals C and D are planning to vote no. In the foreground of the referendum, you are asked to conduct a poll of n=2 individuals. Considering all conceivable simple random samples without replacement, what is the range in the estimates of the percentage of people who support the referendum?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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ganeshie8
  • ganeshie8
Suppose your sample is \(\large \{C, D\}\) They gonna say no, so the percentage in favor is \(0\%\)
ganeshie8
  • ganeshie8
That is one extreme, can you guess the other extreme ?
anonymous
  • anonymous
A,B Say yes, so percent in favor is 100%... but not sure how to apply this to this question!

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anonymous
  • anonymous
N=2 individuals would be AB, AC, AD, BC, BD and CD without replacement
ganeshie8
  • ganeshie8
so minimum = 0 maximum = 100 range = ?
anonymous
  • anonymous
100%?
ganeshie8
  • ganeshie8
i think so, if by range they mean max-min
anonymous
  • anonymous
Yes, i think they mean that.. Just wasn't sure how they meant it with their wording... but thanks!
ganeshie8
  • ganeshie8
looks good then
anonymous
  • anonymous
What if it were for 3 individuals?
ganeshie8
  • ganeshie8
you mean the sample contains 3 individuals, n = 3 ?
anonymous
  • anonymous
Yes
ganeshie8
  • ganeshie8
just work worst case and best case
ganeshie8
  • ganeshie8
worst case : 2 no, 1 yes best case : 1 no, 2 yes
anonymous
  • anonymous
is it 50% and 50%?
ganeshie8
  • ganeshie8
nope, how did u get 50% ?
anonymous
  • anonymous
Oh wait.... sorry
anonymous
  • anonymous
first is 33% 2 = no 1 = yes, so
anonymous
  • anonymous
or am I off...
ganeshie8
  • ganeshie8
looks good!
ganeshie8
  • ganeshie8
33.33%
anonymous
  • anonymous
and second is 66 %
anonymous
  • anonymous
so it's 33.33% the answer
ganeshie8
  • ganeshie8
Looks good!
anonymous
  • anonymous
Thanks a bunch!
nincompoop
  • nincompoop
let us understand the key terms: sample size, n without replacement
nincompoop
  • nincompoop
Sample size would be the randomized people in the population being considered. You must realize that sometimes a population is too big that it would not be feasible to include them all in the study so instead we select random people that would best represent a whole population, but if it is small, then it is much easier. If we want to do a statistical analysis, for example, of a population that is for gun control and against. Say, there are 4 total voters representing of equal number between Republicans and Democrats. Republicans like their guns and Democrats like to control the ownership. Since our population, n, is so small that we can include them all in our list. They can be grouped accordingly, but at the same time, we can also randomize (assign numbers) them. \(Voters: 1, 2, 3, 4 \) where Republican: 1, 3 Democrat: 2, 4 But in our analysis we only want people that are against the gun control. So, we can immediately tell that we now have a smaller group of people {1, 3}, n = 2. Now here's the other term, WITHOUT REPLACEMENT what this means is that if I randomly selected my first selection out 1 and 3, I cannot put the number back into the selection. Meaning if I picked 3, then there is only 1 left to be picked next. If it says WITH REPLACEMENT, after I picked 3, then I put 3 back into the group to be selected and there's a chance that I might pick it again the next round of selection or not.
nincompoop
  • nincompoop
http://studyzone.org/mtestprep/math8/g/probwithless.cfm

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