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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.
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Dr. Neal, Spring 2009
Survey Question 1: On the Mean of a Measurement
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,
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”
total in Ω 1
total in Ω 2
Total “Yes” Total “Not Yes” Total