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MATH 203: Survey Proposal for Analyzing Population Proportions of Disjoint Sub-populations, Study notes of Statistics

Instructions for creating a survey proposal in a math 203 course. Students are asked to choose a measurement x and a population ω, then divide it into two disjoint sub-populations ω1 and ω2. They must also formulate a 'yes/no' question with a favorable response and collect at least 30 responses from each sub-population. How to sort and analyze the data to determine population proportions.

Typology: Study notes

Pre 2010

Uploaded on 08/18/2009

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Dr. Neal, Spring 2009
MATH 203 Survey Proposal
Survey Question 1: On the Mean of a Measurement
1. Think of a measurement
X
that you would like to analyze. For example, the number
of hours that a typical student sleeps per weeknight, or the number of jobs that a person
has had.
2. Specify the population that you wish to target for your survey, for example,
“Undergraduates at WKU” or “Adults living in Bowling Green”
3. Break your population down into two disjoint sub-populations
1
and
2
, for
example,
1
= female and
2
= male, or
1
= married and
2
= single.
Survey Question 2: Population Proportion
Using the same population and sub-populations as in Survey Question 1,
4. Think of a “Yes/No” question that has only two responses. For example, “Do you
favor capital punishment?” or “Are you a smoker or non-smoker?” State your
question and which response you want to measure. This will be called a favorable
response.
When you collect your responses, you should have at least 30 from each
subpopulation. (Ideally, the number asked in each sub-population should be in the
same proportion to the actual number of people in the sub-population.)
Data for your responses can be easily sorted:
Response In Pop ? 1 2 Meas. X Yes Not Yes
Person 1 20
Person 2 14
Person 3 12
. . . . . . .
. . . . . . .
. . . . . . .
60 15
A
= “Yes”
A
= “Not Yes”
B
=
1
total in
1
B
=
2
total in
2
Total “Yes” Total “Not Yes” Total

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Download MATH 203: Survey Proposal for Analyzing Population Proportions of Disjoint Sub-populations and more Study notes Statistics in PDF only on Docsity!

Dr. Neal, Spring 2009

MATH 203 Survey Proposal

Survey Question 1: On the Mean of a Measurement

  1. Think of a measurement X that you would like to analyze. For example, the number of hours that a typical student sleeps per weeknight, or the number of jobs that a person has had.
  2. Specify the population Ω that you wish to target for your survey, for example, “Undergraduates at WKU” or “Adults living in Bowling Green”
  3. Break your population down into two disjoint sub-populations Ω 1 and Ω 2 , for

example, Ω 1 = female and Ω 2 = male, or Ω 1 = married and Ω 2 = single.

Survey Question 2: Population Proportion

Using the same population and sub-populations as in Survey Question 1,

  1. Think of a “Yes/No” question that has only two responses. For example, “Do you favor capital punishment?” or “Are you a smoker or non-smoker?” State your question and which response you want to measure. This will be called a favorable response.

When you collect your responses, you should have at least 30 from each subpopulation. (Ideally, the number asked in each sub-population should be in the same proportion to the actual number of people in the sub-population.)

Data for your responses can be easily sorted:

Response (^) In Pop? 1 2 Meas. X Yes Not Yes

Person 1 √ √ 20 √

Person 2 √^ √ 14 √

Person 3 √ √ 12 √

....... ....... .......

≥ 60 √ √ 15 √

A = “Yes” A ′ = “Not Yes”

B = Ω 1

total in Ω 1

B ′ = Ω 2

total in Ω 2

Total “Yes” Total “Not Yes” Total