The most important characteristic of a sample that makes it possible to generalize the results of a research study to the population from which the sample was selected is that it is, on average, representative of that population. Which of the following is most likely to ensure the sample is truly representative? A. The sample is selected based on whether respondents possess minimal reading and writing skills enabling them to understand the questions presented on questionnaires
B. The entire population is included in the sample i. e. it is really a census
C. The sample is carefully screened to ensure that it contains, proportionately, people with the same demographic profiles as encountered in the population.
D. The sample is selected quickly, even at the risk of its being non-random to ensure that opinions are 'fresh.'
E. The sample is selected at random from the population of interest.

C. The sample is carefully screened to ensure that it contains, proportionately, people with the same demographic profiles as encountered in the population.

Step-by-step explanation:

Sampling

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

When choosing a sample, you have to be careful, to avoid choosing a biased sample.

In this question:

Option A is not correct, as this wouldnt be representative of the entire population, since there is expected to be a significant number of people without these skills.

Option B is not correct, as we would not have a sample.

Option D is not correct, as a quickly selected sample could lead to bias.

Option E is not correct, as it could also lead to bias.

So the answer is given by option C.

your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so and .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.

the number 100 represents the number of trials in the experiment.

49/100 represents the experimental probability of the coin landing heads up.

step-by-step explanation: