Careful CountingThe audio segment above ends with Charlie McDonnell (of the British “Fun Science” videos) noting that “every now and then, at random, you end up with something awesome.” We might take that to mean that every now and then, a simple random sample is representative of a population with respect to a certain list of demographics. Let’s look at a simple example to see how likely that might be. Suppose you have a population with two men—one a Republican and one a Democrat; and two women—one a Republican and one a Democrat.There are six possible distinct samples of size two from this four-person population. If M = male, F = female, R = Republican, and D = Democrat, then the possible samples are:Group of answer choices(MR, MD), (MR, FR), (MR, FD), (MD,FR), (MD, FD), (FR,FD)(MR, MD), (MR, FR), (MR, FR), (MR,FR), (MD, FD), (FD,FD)(MD, MD), (MD, FR), (MR, FR), (MD,FR), (MD, FD), (FD,FD)(MR, MR), (MR, FD), (MR, FD), (MR,FR), (MD, FD), (FD,FD)
Question
Careful CountingThe audio segment above ends with Charlie McDonnell (of the British “Fun Science” videos) noting that “every now and then, at random, you end up with something awesome.” We might take that to mean that every now and then, a simple random sample is representative of a population with respect to a certain list of demographics. Let’s look at a simple example to see how likely that might be. Suppose you have a population with two men—one a Republican and one a Democrat; and two women—one a Republican and one a Democrat.There are six possible distinct samples of size two from this four-person population. If M = male, F = female, R = Republican, and D = Democrat, then the possible samples are:Group of answer choices(MR, MD), (MR, FR), (MR, FD), (MD,FR), (MD, FD), (FR,FD)(MR, MD), (MR, FR), (MR, FR), (MR,FR), (MD, FD), (FD,FD)(MD, MD), (MD, FR), (MR, FR), (MD,FR), (MD, FD), (FD,FD)(MR, MR), (MR, FD), (MR, FD), (MR,FR), (MD, FD), (FD,FD)
Solution
The correct group of answer choices is (MR, MD), (MR, FR), (MR, FD), (MD,FR), (MD, FD), (FR,FD). This is because each pair represents a unique combination of two individuals from the four-person population.
Similar Questions
Suppose for a sample of size two to be “representative” of the population, it has to have exactly one man and one woman, and one Democrat and one Republican. What is the chance of selecting a simple random sample of size two from this population that is representative (in this sense of the word)?Group of answer choices1 in 62 in 64 in 101 in 2
The type of sampling In which each element of population has equally likely chance of occurrence in a random sample is classified as
In probability sampling, each member a population has a known chance of participating in the study*1 pointTRUEFALSE
In order to obtain a sample of voters in Pennsylvania, a simple random sample of 10 counties is selected. From each of the selected counties, 10 precincts are chosen at random. Finally, from each of these 100 precincts , a simple random sample of 20 voters students is selected. Thus, the final sample consists of 2,000 voters.This is an example of: stratified sampling. multistage sampling. convenience sampling. simple random sampling. none of the above.
What is population? What is sample?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.