A university's housing and residence office wants to know how much students pay per month for rent in off-campus housing. The university does not have enough on-campus housing for students, and this information will be used in a brochure about student housing. They obtain a list of the 12,304 students who live in off-campus housing and have not yet graduated and mail a questionnaire to 200 students selected at random. Only 78 questionairres are returned 8.1 (a) What is the population in this study? Be careful: about what group do they want information? (b) What is the sample? Be careful: from what group do they actually obtain information? can redefine the population about which infor- The important message in this problem is that the sample mation is obtained

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05-02-2020
Mathematics

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A university's housing and residence office wants to know how much students pay per month for rent in off-campus housing. The university does not have enough on-campus housing for students, and this information will be used in a brochure about student housing. They obtain a list of the 12,304 students who live in off-campus housing and have not yet graduated and mail a questionnaire to 200 students selected at random. Only 78 questionairres are returned 8.1 (a) What is the population in this study? Be careful: about what group do they want information? (b) What is the sample? Be careful: from what group do they actually obtain information? can redefine the population about which infor- The important message in this problem is that the sample mation is obtained

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Answer:

a) For this case the population of study is " the 12,304 students who live in off-campus housing and have not yet graduated " since the objective of the study is know how much students pay per month for rent in off-campus housing. So thn th epopulation size is N = 12304.

b) They select 200 students who live in off-campus housing and have not yet graduated selected using random sampling from the total population of 12304. So the sample size is n=200

As we can see in the info they got response just for 78 questionairres, so then the response rate is (78/200)*100 =39% and the non response rate is 100-39= 61.

So at the end the final sample consist on 39% of the original sample with 78 responses available for the analysis.

For this case we can redefine the sample as "The k students selected at random who live in off-campus housing and have not yet graduated and answer the mail questionairries ". And as we can see we have a better definition fo the real sample for this situation.

Step-by-step explanation:

Previous concepts

The term population represent to the total set of observations in a sample space S defined, and with an specified characteristics.

The term sample represent a set of individuals or objects who are a subsample of the population who are "collected or selected from a statistical population by a defined procedure".

Part a

For this case the population of study is " the 12,304 students who live in off-campus housing and have not yet graduated " since the objective of the study is know how much students pay per month for rent in off-campus housing. So thn th epopulation size is N = 12304.

Part b

They select 200 students who live in off-campus housing and have not yet graduated selected using random sampling from the total population of 12304. So the sample size is n=200

As we can see in the info they got response just for 78 questionairres, so then the response rate is (78/200)*100 =39% and the non response rate is 100-39= 61.

So at the end the final sample consist on 39% of the original sample with 78 responses available for the analysis.

For this case we can redefine the sample as "The k students selected at random who live in off-campus housing and have not yet graduated and answer the mail questionairries ". And as we can see we have a better definition fo the real sample for this situation.