"Identify the population and the sample. Describe the sample d...

Question

"Identify the population and the sample. Describe the sample data set.

A survey of 1500 U.S. adults found that 59% have never had a vaccine reaction. (Source: SingleCare)"

Accepted Answer

Hello there. Today we're going to solve the following practice problem together. So first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. A researcher surveys 950 residents of a city and finds that 38% commute to work by bicycle. Identify the population and the sample. Describe the sample data set. Awesome. So it appears for this particular prompt, we're asked to solve for three final answers. We're asked to identify the population. That's our first answer. Then we're asked to identify the sample. That's our second answer. And our final answer we're trying to solve for is we're trying to determine how to describe the sample data set. So now that we know what we're trying to solve for, Our first step that we need to take is we need to identify the population. So as we should recall, the population is the entire group that the researcher is interested in drawing conclusions about. So that will mean that for our population, which I'll just call P, the population will be all the residents in the city. So I'll just put a letter, I'll just put all, so we'll know that it's all the residents in the city, so our population is all the residents in the city. Our second step now is we need to identify the sample, which, as we should recall, the sample is the subset of the population that was actually surveyed or studied, which in this particular case for this particular problem, which I'll call S for sample. The sample will be the 950 residents of the city who were surveyed. So, our 3rd step now is we need to describe the sample data set. So, as we should recall, the sample data set includes the number of surveyed residents and the result observed. So that will mean that our sample data set, which we'll call SDS for short, so our sample data set will state that out of the 950 surveyed residents, 38% Or or 0.38, which is 38% written as a decimal multiplied by 950, which is equal to 361 residents. So precisely 361 residents commute to work by bicycle. So With that in mind, we have officially solved for all of our answers that we're trying to solve for. So to quickly summarize what we've learned, that will mean that our final answers, without a doubt, will have to be the following. So our population is all the residents of the city. Our sample is The 950 residents surveyed and the sample data set is 38% commute by bicycle, and that's it. Those are our final three answers. Thank you so much for watching. Hopefully that helped, and I can't wait to see you in the next video. Bye.

"Identify the population and the sample. Describe the sample data set.
A survey of 1500 U.S. adults found that 59% have never had a vaccine reaction. (Source: SingleCare)"

Key Concepts

Population

Sample

Sample Data Set

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